Pith. sign in

Paper Citation Record · LEDGER

Three-layer water flows: Dirichlet-Neumann operators and approximations

As of 13 August 2026, this Paper Citation Record lists 71 of 71 outbound references and 0 inbound Pith citation observations for arXiv:2608.06314.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2608.06314 v1

Coverage vector

measured 71 of 71 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:47:16.929573Z

measured 71 of 71 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

71 of 71 outbound references displayed

  • verified exact7
  • verified fuzzy47
  • unresolved14
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a17c1820-caf1-44eb-994c-d3cef1e2fb4d · outbound

This paper cites Alvarez-Samaniego and D.

Three-layer water flows: Dirichlet-Neumann operators and approximations Alvarez-Samaniego and D

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:30.302022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:11.931516Z digest=sha256:6b7313262094bd4f452b279f334297e22ea4b225edaa62dbe4a981c3651358c7

Observation f1a8436f-b91a-4602-9436-d799451f178d · outbound

This paper cites an unresolved cited work.

Three-layer water flows: Dirichlet-Neumann operators and approximations Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:47:30.176988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:12.015612Z digest=sha256:73050f8d6fe13ccc7ed1a77fba68b7cbd6f740ebd282b74974b435bfcffcaa91

Observation 8a786675-e262-45d3-bd74-e67d467397ed · outbound

This paper cites Baldi, M.

Three-layer water flows: Dirichlet-Neumann operators and approximations Baldi, M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:29.990913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:12.096692Z digest=sha256:ed86e968bbd4bb6f77417050a0be0596e03504fca29b67b82dc1c1ceb1fb8f2d

Observation b8fb88b0-8f65-4783-a434-eb40f5e42743 · outbound

This paper cites an unresolved cited work.

Three-layer water flows: Dirichlet-Neumann operators and approximations Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:47:29.814953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:12.160600Z digest=sha256:e6e52cb5c9dcd28c9ee7301a55604439404b551ce298465aa61e7bdb26e17ed7

Observation 945b67e0-42ea-4581-a4db-a4047820488b · outbound

This paper cites Berti, L.

Three-layer water flows: Dirichlet-Neumann operators and approximations Berti, L

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:29.608016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:12.257120Z digest=sha256:8149cc34991d41a760dd5bead77e8e48991e74e79a3426a3dc2d79396a35f289

Observation 5ef9ef14-5388-4091-b9ea-38dcdbaec414 · outbound

This paper cites Benjamin and T.J.

Three-layer water flows: Dirichlet-Neumann operators and approximations Benjamin and T.J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:29.319429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:12.343462Z digest=sha256:cdca996dc7158fcd893587e47490e9e5ffada8721d83300905cb8fdde989222a

Observation ae513e85-de12-45e9-a24e-7a2fa1102c7f · outbound

This paper cites Benjamin and T.J.

Three-layer water flows: Dirichlet-Neumann operators and approximations Benjamin and T.J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:29.126057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:12.412565Z digest=sha256:c92f074ed087024ebb5553bf63b9d7e1935ff1a26fb6e2f21cafda271c300a4a

Observation 8e483d12-ae16-4dfe-ae50-d45d65a088b5 · outbound

This paper cites an unresolved cited work.

Three-layer water flows: Dirichlet-Neumann operators and approximations Unresolved cited work

Reference 8

Resolution
malformed identifier
no resolver link, observed 2026-08-07T05:47:12.521594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:47:12.521594Z digest=sha256:b3685fb48e44126293c5927126537bfc412661b427eab2b893823b1d93cd5939

Observation d700656c-408a-4ce4-bc22-07e981b29b1a · outbound

This paper cites Camassa, G.

Three-layer water flows: Dirichlet-Neumann operators and approximations Camassa, G

Reference 9

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:47:28.914068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:12.591765Z digest=sha256:3d153daa10937053aa4c4753352269b6631103a0c21d8dbf7605b16579f4e9cb

Observation 3b0b5271-3806-4aa3-844c-a4338284e53b · outbound

This paper cites Canning Gregory and D.P.

Three-layer water flows: Dirichlet-Neumann operators and approximations Canning Gregory and D.P

Reference 10

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T05:47:18.832649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:12.654552Z digest=sha256:722ff32e446a19ffc216f80aaaa794df4ebe8702e616adeacf80c1b7c1ee3b12

Observation a8c87fd2-bc6e-469b-ac62-00605b77e954 · outbound

This paper cites Choi and R.

Three-layer water flows: Dirichlet-Neumann operators and approximations Choi and R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:28.687472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:12.710325Z digest=sha256:c356127aa1f6a792fea731716c80cc68c47bb0e135e296b7951e6e8a748a37c3

Observation 08b0dce7-ff19-4b00-975a-1a8d05b199c8 · outbound

This paper cites Choi and R.

Three-layer water flows: Dirichlet-Neumann operators and approximations Choi and R

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:28.588407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:12.796084Z digest=sha256:7387167ee5f01786ad698bf30c012dcd7476f1b8851bdcd20c34e76b7e51c92f

Observation b5ff6df3-899d-497c-8b77-8672f0257334 · outbound

This paper cites Clamond, Explicit Dirichlet-Neumann operator for water waves.

Three-layer water flows: Dirichlet-Neumann operators and approximations Clamond, Explicit Dirichlet-Neumann operator for water waves

Reference 13

Resolution
verified exact
doi, observed 2026-08-07T05:47:17.676114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:12.862124Z digest=sha256:e9aaa25fe5144442342dfb70c86337e3f28bfe8a6b645601254e71d46caf027f

Observation 7f7fe0ac-01a7-4158-9f94-547a3c7cbfe2 · outbound

This paper cites The Dynamics of Flat Surface Internal Geophysical Waves with Currents.

Three-layer water flows: Dirichlet-Neumann operators and approximations The Dynamics of Flat Surface Internal Geophysical Waves with Currents

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T05:47:12.944135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:47:12.944135Z digest=sha256:be68bf99e61b1f463cd73a6b761979db6516882b6ca85d2293e804f3f2db613a

Observation eda18f36-50ae-44e7-86cc-b39d8d9470b0 · outbound

This paper cites Hamiltonian models for the propagation of irrotational surface gravity waves over a variable bottom.

Three-layer water flows: Dirichlet-Neumann operators and approximations Hamiltonian models for the propagation of irrotational surface gravity waves over a variable bottom

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:47:18.530763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:13.006166Z digest=sha256:e7ecea50b2d9737a9269a5628f2018a8a4561167214ba217e1e8c9724b299284

Observation 3f4c5bcf-c03c-417d-abfe-242e38493297 · outbound

This paper cites Surface waves over currents and uneven bottom.

Three-layer water flows: Dirichlet-Neumann operators and approximations Surface waves over currents and uneven bottom

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T05:47:13.131314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:47:13.131314Z digest=sha256:c3ad8e425739fda8efc434bc549e5e36e5fb8bc8f21f1126c5c68cfa739ea407

Observation fccb5fcd-226a-459d-9c42-4490bbb7761b · outbound

This paper cites Constantin, Some three-dimensional nonlinear equatorial flows, J.

Three-layer water flows: Dirichlet-Neumann operators and approximations Constantin, Some three-dimensional nonlinear equatorial flows, J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:28.428731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:13.215092Z digest=sha256:ba774499b3af1132e37baf7db2cf30fe078f355685c2a05cc14039c1e7068a0f

Observation 430cb0d4-4ea7-4f35-84aa-9080123b9418 · outbound

This paper cites Constantin, Some nonlinear, equatorially trapped, nonhydrostatic internal geophysical waves, J.

Three-layer water flows: Dirichlet-Neumann operators and approximations Constantin, Some nonlinear, equatorially trapped, nonhydrostatic internal geophysical waves, J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:28.266203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:13.259383Z digest=sha256:480660495de9e874a29e6bc2540998ea5aad7eba33c5dbb295b8217ddd7c9743

Observation 98aa3291-250a-47f7-9534-0708c9cb2e02 · outbound

This paper cites Constantin and R.I.

Three-layer water flows: Dirichlet-Neumann operators and approximations Constantin and R.I

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-07T05:47:13.297971Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:47:13.297971Z digest=sha256:24458a06fb735757d73bb523965f1f589ec6c89d6464f6151e0ba4a3c3a7d22f

Observation 7a3642bb-2b36-40de-95c5-4e4cea33bc12 · outbound

This paper cites Constantin, R.

Three-layer water flows: Dirichlet-Neumann operators and approximations Constantin, R

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T05:47:13.379545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:47:13.379545Z digest=sha256:608e5e01e1d20c558d292615a4ee24e1a3edaad7f19a55120f2064403944a247

Observation 8e26c6b0-a220-4180-a4dd-f65915583d70 · outbound

This paper cites Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity.

Three-layer water flows: Dirichlet-Neumann operators and approximations Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-07T05:47:13.447541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:47:13.447541Z digest=sha256:451d5668676d36868be1a482b80fcb37aff5bc89c8f7e1ee2d3e8a652b186108

Observation 630275ce-651d-4630-aeb0-2c60fa52f209 · outbound

This paper cites Constantin and R.

Three-layer water flows: Dirichlet-Neumann operators and approximations Constantin and R

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:28.061841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:13.509941Z digest=sha256:b4a2a1b53c6e678c8094154b2a1b79e4e7db3f0fb5546d7977b4b9517d5a9e94

Observation 6b7da186-ec81-4fbd-aa06-3b9208c55ddc · outbound

This paper cites Constantin and R.S.

Three-layer water flows: Dirichlet-Neumann operators and approximations Constantin and R.S

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:27.836544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:13.544515Z digest=sha256:9a3b283196e8ccd3ae3347e4e4bb9f70d85e239c6ab3ba86aa6ae728f488f8b0

Observation b63f6e10-4607-479f-89b7-1cce6c1c622f · outbound

This paper cites Cotter, D.D.

Three-layer water flows: Dirichlet-Neumann operators and approximations Cotter, D.D

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:27.568334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:13.619184Z digest=sha256:cf29bb4c745a04503cf3208bcaa2e7cc6c6267d22bfaa6f3296b959dd0f57901

Observation f5cce23a-ddb0-4d32-8aae-8b959a52c9a8 · outbound

This paper cites Craig, P.

Three-layer water flows: Dirichlet-Neumann operators and approximations Craig, P

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:27.294077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:13.672961Z digest=sha256:090ff41f6173179a13db3dbf8a47ba226d78000d6a5eabd359eb690831bca224

Observation 7120abeb-762a-4457-b1d7-75a78ba47a30 · outbound

This paper cites Craig, P.

Three-layer water flows: Dirichlet-Neumann operators and approximations Craig, P

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:27.053611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:13.728677Z digest=sha256:f06faaf57628d932c32368ff894b7c24afdc57ef650b6182286aa0c2866d7631

Observation 37ecadbb-761f-4e13-888b-719273627227 · outbound

This paper cites Craig, P.

Three-layer water flows: Dirichlet-Neumann operators and approximations Craig, P

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:26.834218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:13.789360Z digest=sha256:948e48d3c655b4cda03e9d0bd3fe10d5ed59132e75a6ae82716d8439f31fa70b

Observation b2f20c69-d9a5-4ba6-be31-1ca98add96e2 · outbound

This paper cites Craig, P.

Three-layer water flows: Dirichlet-Neumann operators and approximations Craig, P

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:26.528231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:13.822734Z digest=sha256:a78b318056aff1118624afcf46d99b8f690fdafa8435e4749143b42c14cba008

Observation eb96d905-f4f2-47b7-b019-97ffa686d2b0 · outbound

This paper cites Craig, P.

Three-layer water flows: Dirichlet-Neumann operators and approximations Craig, P

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:26.357209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:13.870711Z digest=sha256:c5ee970014d6c60992ecddedfd1ab71969cd725e3229b43d7a33d5591fa7421b

Observation e1975391-f6f0-4008-a545-8072f9535afa · outbound

This paper cites Craig, C.

Three-layer water flows: Dirichlet-Neumann operators and approximations Craig, C

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-07T05:47:13.913613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:47:13.913613Z digest=sha256:dcf4276e801fdf7aa2178033a78d62c8079902b3e9d2b1c2e8713aaad53c288c

Observation aa88004d-b77b-4dec-8e8f-9bebdbb371ad · outbound

This paper cites Cushman-Roisin and J.-M.

Three-layer water flows: Dirichlet-Neumann operators and approximations Cushman-Roisin and J.-M

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:26.292793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:13.961371Z digest=sha256:fc9cbd7bd244369c99ccb100361cc9e99d45efccccf9ad0166bb98817d46af07

Observation 438d992b-03bc-46dd-abf4-9f8921ae55ff · outbound

This paper cites Evans,Partial Differential Equations, Graduate Studies in Mathematics, AMS, Rhode Island, 2010.

Three-layer water flows: Dirichlet-Neumann operators and approximations Evans,Partial Differential Equations, Graduate Studies in Mathematics, AMS, Rhode Island, 2010

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:26.209496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:14.021432Z digest=sha256:56755343fea5ebe1e13d102985fd2ddf97e3e83165822e66073f5e1792e2d87f

Observation cbe0e062-0c0d-4930-b6a2-ab55637c1b7c · outbound

This paper cites Escher, P.

Three-layer water flows: Dirichlet-Neumann operators and approximations Escher, P

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:26.148689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:14.082540Z digest=sha256:1f91b0e06521f126ab2f8386f7866cb58e05a6995ab3829733f7d6b080a19e75

Observation b03710a0-a4af-4832-a93d-62cc7bcdedda · outbound

This paper cites Fedorov and J.N.

Three-layer water flows: Dirichlet-Neumann operators and approximations Fedorov and J.N

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:26.047308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:14.126653Z digest=sha256:7b732b162288c128f7b5e451ce97fbac43aa36f24726faf0f99eded0661fee73

Observation 6dd5a840-f946-466b-98a4-1a8009a24881 · outbound

This paper cites Gill.Atmosphere–Ocean Dynamics.

Three-layer water flows: Dirichlet-Neumann operators and approximations Gill.Atmosphere–Ocean Dynamics

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:25.783424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:14.173975Z digest=sha256:5f99dee3594d6764fe39dc53f4362c4e407dfca7b683ec963ede23cc0d3657a8

Observation 48521cd1-6f01-417b-87fb-bde369ba534c · outbound

This paper cites an unresolved cited work.

Three-layer water flows: Dirichlet-Neumann operators and approximations Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:47:25.418177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:14.242050Z digest=sha256:bb5b7f0bc563fc549282b573881ca5b55414595bf89fb1a203ec5f96b8bd6efe

Observation f96c052b-34c0-4f04-bb5c-0564b61cfbcd · outbound

This paper cites Grimshaw, C.

Three-layer water flows: Dirichlet-Neumann operators and approximations Grimshaw, C

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:25.087954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:14.282142Z digest=sha256:732f2de92d6be2fd8167a5db96bb266ae7954fe0648ba509cc24606b3f9e34c1

Observation 44aab4dc-8a0e-4ca1-9d11-e03fa0b22293 · outbound

This paper cites Guyenne, A high-order spectral method for nonlinear water waves in the presence of a linear shear current, Computers & Fluids 154 (2017) 224–235.

Three-layer water flows: Dirichlet-Neumann operators and approximations Guyenne, A high-order spectral method for nonlinear water waves in the presence of a linear shear current, Computers & Fluids 154 (2017) 224–235

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:24.714623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:14.313074Z digest=sha256:d52e6d63ecbc37e6bad5118176e9c009da04511d15c364e57f6a6bcccb3a7e23

Observation 6a23aa2f-3d34-4094-b382-be9d1e69837d · outbound

This paper cites Guyenne, E.

Three-layer water flows: Dirichlet-Neumann operators and approximations Guyenne, E

Reference 39

Resolution
verified exact
doi, observed 2026-08-07T05:47:17.398453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:14.381429Z digest=sha256:380feac6bca2ae6101060ca9d496864c0b89bf6f22a99124a2082958a214aa61

Observation 721ed36a-c0c9-4bff-8aea-a6a1ce8ff964 · outbound

This paper cites Henry and G.

Three-layer water flows: Dirichlet-Neumann operators and approximations Henry and G

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:24.311332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:14.426879Z digest=sha256:45dfb2b941fbaf5e2d29fbe4a8ba657a80d1e69b7468689515a1e22e693e050a

Observation ef46c5b9-4c79-412c-8e75-f5069b936c06 · outbound

This paper cites an unresolved cited work.

Three-layer water flows: Dirichlet-Neumann operators and approximations Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:47:24.020131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:14.479474Z digest=sha256:b89a87d64f0a7b6a7ac20678c33cc3962ee44573187df7656bcdff1f9269286e

Observation 6fd4fe0e-4fbd-4e02-b085-dcaa312facdc · outbound

This paper cites Hamiltonian approach to modelling interfacial internal waves over variable bottom.

Three-layer water flows: Dirichlet-Neumann operators and approximations Hamiltonian approach to modelling interfacial internal waves over variable bottom

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-07T05:47:14.544970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:47:14.544970Z digest=sha256:4dd37b76ad5abe59868f00505cb7a6099e5ed5dfd31c0ebbdf643e1d036b6401

Observation c30ff484-06f1-4dc8-a472-c1df703704d8 · outbound

This paper cites Ivanov and C.I.

Three-layer water flows: Dirichlet-Neumann operators and approximations Ivanov and C.I

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:23.700592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:14.591422Z digest=sha256:0b6064a2099bda9a15b097e2219802aeae75b1cdee703e4e255cba827d1646a2

Observation 32b519aa-2479-4378-aa2d-83fc9e9d2cce · outbound

This paper cites Kakutani and N.

Three-layer water flows: Dirichlet-Neumann operators and approximations Kakutani and N

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:23.365107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:14.654197Z digest=sha256:9ed102ca8252cbaec6a393f44cf600f5b93a22bd0274d2f4ef662dcc8e7bcd33

Observation 8b99fe1d-acf4-488f-b629-40e0d439ff26 · outbound

This paper cites Kessler and M.J.

Three-layer water flows: Dirichlet-Neumann operators and approximations Kessler and M.J

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:23.039016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:14.743544Z digest=sha256:0a38096b6623d9ee08cf05cfba31bfc8def2c7e24841cb41dbf0d8443e9641e3

Observation a67be6a7-eae7-4973-9e77-6e9d57e193b5 · outbound

This paper cites Kodaira, T.

Three-layer water flows: Dirichlet-Neumann operators and approximations Kodaira, T

Reference 46

Resolution
verified exact
doi, observed 2026-08-07T05:47:17.252035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:14.790987Z digest=sha256:82dd169a170b086d95d0404c39870be556ff0be2e4268bdd0a8b5236b7eee57b

Observation 5cf667c5-5cc1-4fee-86aa-b3acf083a5e5 · outbound

This paper cites Lamb,Hydrodynamics, 6 ed., Cambridge University Press, Cambridge, 1932.

Three-layer water flows: Dirichlet-Neumann operators and approximations Lamb,Hydrodynamics, 6 ed., Cambridge University Press, Cambridge, 1932

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:22.739687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:14.886007Z digest=sha256:2c14a58ec4b8b712c4fd894461f152da21e6e087b4227f31f17487ba1f1cba9e

Observation dfcf95f3-e5a3-49e1-9ba5-e25ff586a137 · outbound

This paper cites Lannes, Well-posedness of the water-waves equations, J.

Three-layer water flows: Dirichlet-Neumann operators and approximations Lannes, Well-posedness of the water-waves equations, J

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:22.527561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:14.985480Z digest=sha256:91964bc1b674706ce90b8910d12a33131c10e7b67348d16c10dca86e65351a0c

Observation 6c07689f-1c82-4ac8-a3df-73321f8e71e0 · outbound

This paper cites Marshall and R.

Three-layer water flows: Dirichlet-Neumann operators and approximations Marshall and R

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:22.361210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:15.080147Z digest=sha256:99c46727394773f0dc4447c6c95cff85577ae22eead3a7bb1bea828ccc578da4

Observation 29b5e82b-9e3d-4df1-b0d6-b88124270a56 · outbound

This paper cites an unresolved cited work.

Three-layer water flows: Dirichlet-Neumann operators and approximations Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:47:22.239864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:15.130219Z digest=sha256:58384af01779ee294ed8b12b1ae00f5349e2a0edc5492468a39dab359613324a

Observation b3fe2534-9f76-4036-9d95-4a36c79c82bc · outbound

This paper cites Massel,Internal gravity waves in the shallow seas, Springer International Publishing, Switzerland, 2015.

Three-layer water flows: Dirichlet-Neumann operators and approximations Massel,Internal gravity waves in the shallow seas, Springer International Publishing, Switzerland, 2015

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:22.120012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:15.258790Z digest=sha256:d46b3906ae1903875e02a0cff52137c08a8a64a057e088265da89e27ffba7efd

Observation 3201a11a-1a7c-420a-bece-f4634b904ac2 · outbound

This paper cites Matioc, Steady internal water waves with a critical layer bounded by the wave surface, J.

Three-layer water flows: Dirichlet-Neumann operators and approximations Matioc, Steady internal water waves with a critical layer bounded by the wave surface, J

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:21.974423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:15.346665Z digest=sha256:4ce6fc45c4c49dea975ef4479135fd0bd6f86a6bcdba3cd17515d7908497eedb

Observation ace61a53-c4fb-48be-b512-b7b8904886b7 · outbound

This paper cites de Melo Vir ´ ıssimo, P.A.

Three-layer water flows: Dirichlet-Neumann operators and approximations de Melo Vir ´ ıssimo, P.A

Reference 53

Resolution
verified exact
doi, observed 2026-08-07T05:47:17.135479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:15.451331Z digest=sha256:860ff949014b68fe71b4bad9fd40d74e0fc5b1bf6e438c6df8904842283daed4

Observation 09eda2e7-7243-463a-a541-00a5ddb7c88b · outbound

This paper cites Nachbin, A three-dimensional Dirichlet-to-Neumann operator for water waves over topog- raphy, J.

Three-layer water flows: Dirichlet-Neumann operators and approximations Nachbin, A three-dimensional Dirichlet-to-Neumann operator for water waves over topog- raphy, J

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:21.794131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:15.537950Z digest=sha256:59d221e237aa4f54052a9b6fb0700fe340cb63141ab2076271bde0f5cfafc854

Observation 39314608-3953-4ed5-8e91-80133ba65f96 · outbound

This paper cites an unresolved cited work.

Three-layer water flows: Dirichlet-Neumann operators and approximations Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:47:21.676482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:15.606747Z digest=sha256:fb1d559d8a9ecdce57ca715cefe05e295e6b9ed131519eb6dd96962fe7e3c7ec

Observation f240483a-99ef-4cba-84a2-9ab49ac05acf · outbound

This paper cites Ostrovsky and K.R.

Three-layer water flows: Dirichlet-Neumann operators and approximations Ostrovsky and K.R

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:21.481951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:15.747414Z digest=sha256:77ca1f82faa3167c0e7322ae08ded08890207d2b7280c311bf3433ae35fb12ac

Observation b23506a1-9c0b-41e9-91d7-2f1b2bb40ccc · outbound

This paper cites shallow water.

Three-layer water flows: Dirichlet-Neumann operators and approximations shallow water

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:21.350541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:15.851294Z digest=sha256:1e44740ccd96c1e4b3cfc292e21b2d8368b801a966ef1961612985a9ee2c9fb0

Observation eafaf748-1d54-4400-ab63-bd496613de08 · outbound

This paper cites Isolation Intervals of the Real Roots of the Parametric Cubic Equation and Improved Complete Root Classification.

Three-layer water flows: Dirichlet-Neumann operators and approximations Isolation Intervals of the Real Roots of the Parametric Cubic Equation and Improved Complete Root Classification

Reference 58

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:47:18.088504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:15.915823Z digest=sha256:0877799f296a331e09077e70e99748e7940d19a82a35ede4d01d81e2374e5558

Observation 668a538e-7ba3-404b-8203-a172c7c433bd · outbound

This paper cites The Siebeck-Marden-Northshield Theorem and the Real Roots of the Symbolic Cubic Equation.

Three-layer water flows: Dirichlet-Neumann operators and approximations The Siebeck-Marden-Northshield Theorem and the Real Roots of the Symbolic Cubic Equation

Reference 59

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:47:17.906756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:16.006147Z digest=sha256:be3408eff3f2fe7349c8cd7c37de7704df00be672887551a7cad01436e471ed2

Observation 11049fd3-e0c3-45b8-9d8e-3001b44ae146 · outbound

This paper cites Rahman and G.

Three-layer water flows: Dirichlet-Neumann operators and approximations Rahman and G

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:21.201443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:16.113725Z digest=sha256:d1701aecd484a78ffcbee17f3e4e7be59a24ebd67ea669dd6c6d85903ec701cf

Observation 20d02b72-5f32-483e-a621-bb4efc258674 · outbound

This paper cites Ratliff, Genuine nonlinearity and its connection to the modified Korteweg–de Vries equa- tion in phase dynamics, Nonlinearity 35 (2022) 30-65.

Three-layer water flows: Dirichlet-Neumann operators and approximations Ratliff, Genuine nonlinearity and its connection to the modified Korteweg–de Vries equa- tion in phase dynamics, Nonlinearity 35 (2022) 30-65

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:21.049038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:16.198116Z digest=sha256:d047a744ed87048e835cbd2651b4f860bb5f3c01dd7e076be51d3da4109a78ed

Observation d5c954f0-d148-41a8-b9b3-f4afd28abf0d · outbound

This paper cites Reed and B.

Three-layer water flows: Dirichlet-Neumann operators and approximations Reed and B

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:20.755110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:16.266765Z digest=sha256:7cbec37b17820f402614007d0b5c41e87d61da39ce1f56d583b3ed77511f3079

Observation 29fe098e-eb0a-4f51-9e97-5a066b049118 · outbound

This paper cites Shintani and M.

Three-layer water flows: Dirichlet-Neumann operators and approximations Shintani and M

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:20.468651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:16.386142Z digest=sha256:f8768618d5dc7870a5668673aae1993fb8f9e7b24e7f4c2295c93e3174e203d9

Observation 495c8701-e707-466b-997b-3e9308e2a3f1 · outbound

This paper cites Simmons, M.-H.

Three-layer water flows: Dirichlet-Neumann operators and approximations Simmons, M.-H

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:20.082564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:16.510032Z digest=sha256:5e9124d39f8f49c4b57c4475df81b6671a40da5316ef07bf4a796c2f49014911

Observation 5e3e7421-6c6e-4afe-9557-8352f802b467 · outbound

This paper cites an unresolved cited work.

Three-layer water flows: Dirichlet-Neumann operators and approximations Unresolved cited work

Reference 65

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:47:19.895555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:16.564265Z digest=sha256:cd9d2cc500d8a57d984bc32f28a2ac6c21c2ca09390462aa3388a1d6f47ef3b4

Observation 10e00bf3-2a7e-4035-8c7b-9aafaf43d346 · outbound

This paper cites Vallis,Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-Scale Circula- tion, Cambridge University Press, 2017.

Three-layer water flows: Dirichlet-Neumann operators and approximations Vallis,Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-Scale Circula- tion, Cambridge University Press, 2017

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:19.742643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:16.633582Z digest=sha256:96d65cfbe5020a2108328e4d2b64e4ed356e1075dc3e5148bddf43fff8b67b57

Observation 12368097-a383-4a19-8a63-26a820c532a3 · outbound

This paper cites Whitham,Linear and nonlinear waves, 1999, Wiley.

Three-layer water flows: Dirichlet-Neumann operators and approximations Whitham,Linear and nonlinear waves, 1999, Wiley

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:19.620715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:16.673140Z digest=sha256:85d8bdf67cbce230f51a583d7cc5b84c4bdeb785111bfb8ce6da20ceb9591713

Observation 9176cfd5-d967-44ff-87bf-ee2c4a4bebc3 · outbound

This paper cites Wahl´ en, A Hamiltonian formulation of water waves with constant vorticity, Lett.

Three-layer water flows: Dirichlet-Neumann operators and approximations Wahl´ en, A Hamiltonian formulation of water waves with constant vorticity, Lett

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:19.465140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:16.707975Z digest=sha256:f5e161aa1b2946ec2b0e20c367c88df3d85340e037b5c319e32b61c024e983c2

Observation 5f50a117-a711-410f-911a-e3e90b80d6a3 · outbound

This paper cites Wahl´ en, Hamiltonian long-wave approximations of water waves with constant vorticity, Phys.

Three-layer water flows: Dirichlet-Neumann operators and approximations Wahl´ en, Hamiltonian long-wave approximations of water waves with constant vorticity, Phys

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:19.324950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:16.794662Z digest=sha256:f4ecdc79e69561d7a51bc3cbaeea25443ab831ca8127cb38988ab566ae480ffe

Observation 1952d3a9-e554-401a-aaff-0a108ba64ec7 · outbound

This paper cites Yih,Stratified flows, Academic Press, 1980.

Three-layer water flows: Dirichlet-Neumann operators and approximations Yih,Stratified flows, Academic Press, 1980

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:19.145629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:16.881380Z digest=sha256:96f60987c016e1b23768a02fc49a91b176ac42ad66fc79ee86414ea335c3f47a

Observation e3767aab-0fa6-4d05-9e16-ab15ccc40115 · outbound

This paper cites Zakharov, Stability of periodic waves of finite amplitude on the surface of a deep fluid, J.

Three-layer water flows: Dirichlet-Neumann operators and approximations Zakharov, Stability of periodic waves of finite amplitude on the surface of a deep fluid, J

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:47:19.012557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T05:47:16.929573Z digest=sha256:3f365cc80a2f7a852fecb0a1ec0057e409f4c457b36ec51e86a49121d039366b

Pith citing papers

No inbound Pith citation observations are available.