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Paper Citation Record · LEDGER

The primitive equations on curved surfaces

As of 18 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2607.27724.

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

pith.paper-citation-record.v1
2607.27724 v1

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measured 42 of 42 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T02:40:03.449092Z

measured 42 of 42 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

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42 of 42 outbound references displayed

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Outbound references

Observation fcf1394a-81cb-4fc8-89db-044b0042ee30 · outbound

This paper cites an unresolved cited work.

The primitive equations on curved surfaces Unresolved cited work

Reference 1

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Observation 98c2eebd-1531-418b-b855-42bdcc65a684 · outbound

This paper cites Amann,Linear and Quasilinear Parabolic Problems.

The primitive equations on curved surfaces Amann,Linear and Quasilinear Parabolic Problems

Reference 2

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source=pdf_text observed=2026-08-01T02:39:59.688752Z digest=sha256:4d9e387ff2c3e341e99222baf6fbb078f13955597d7f6b4c919f4d2317e43e54

Observation ea2ccc79-8aa2-444b-8179-95a08d417f7a · outbound

This paper cites Amann,Function spaces on singular manifolds.Math.

The primitive equations on curved surfaces Amann,Function spaces on singular manifolds.Math

Reference 3

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source=pdf_text observed=2026-08-01T02:39:59.748877Z digest=sha256:2172596989c3ea6daa78e71e88b3066c13757394ab24a671b0c837084fe49b37

Observation e694ffd0-50ef-4233-a7c3-515a07f41f18 · outbound

This paper cites Amann,Parabolic equations on uniformly regular Riemannian manifolds and degenerate initial boundary value problems.Recent developments of mathematical fluid mechanics, 43-77.

The primitive equations on curved surfaces Amann,Parabolic equations on uniformly regular Riemannian manifolds and degenerate initial boundary value problems.Recent developments of mathematical fluid mechanics, 43-77

Reference 4

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source=pdf_text observed=2026-08-01T02:39:59.814285Z digest=sha256:399076f9633ebd054a8420d4d2dcd2be38b0b0d9234a1b588fa6468829cd9076

Observation 29e1771e-221e-47ea-ade9-475817f642e7 · outbound

This paper cites Amann,Linear and Quasilinear Parabolic Problems.

The primitive equations on curved surfaces Amann,Linear and Quasilinear Parabolic Problems

Reference 5

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source=pdf_text observed=2026-08-01T02:39:59.916117Z digest=sha256:a3025a93cf1f7e2fc0d7000853b2eff858403ccacb323aab0768f7b7a5b06e30

Observation 0050ab68-20b8-40d3-b6e9-8fd9f7f54175 · outbound

This paper cites Aubin,Nonlinear Analysis on Manifolds.

The primitive equations on curved surfaces Aubin,Nonlinear Analysis on Manifolds

Reference 6

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Observation 63542440-c4bd-40c8-a6f1-73acbd0fc5a8 · outbound

This paper cites an unresolved cited work.

The primitive equations on curved surfaces Unresolved cited work

Reference 7

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source=pdf_text observed=2026-08-01T02:40:00.079940Z digest=sha256:b770b89539349ada739e6e077ab8dae364abc77cfa8d34af01a2cef161b96952

Observation 2891afc8-90a0-4753-973c-89509d02053a · outbound

This paper cites an unresolved cited work.

The primitive equations on curved surfaces Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-01T02:40:00.168832Z digest=sha256:992aa8fb09dfbcac7bfc1bd26aecc0dcdf338a6f46882dd118ccaa5ce264e847

Observation 4f2b0130-2e5c-492e-9860-cdb3ef72520d · outbound

This paper cites Drutsa,Existence in the large of a solution to primitive equations in a domain with unveven bottom.

The primitive equations on curved surfaces Drutsa,Existence in the large of a solution to primitive equations in a domain with unveven bottom

Reference 9

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source=pdf_text observed=2026-08-01T02:40:00.247626Z digest=sha256:d4b6685474871f9e2ec3ef9d90e959fd07301dc29bfc1399b80bc892f6da5ed9

Observation b3f1c2bb-f891-4ef1-a3f4-f74c2076659d · outbound

This paper cites Drutsa,Existence in the large of a solution of equations of large-scale ocean dynamics on a manifold.

The primitive equations on curved surfaces Drutsa,Existence in the large of a solution of equations of large-scale ocean dynamics on a manifold

Reference 10

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source=pdf_text observed=2026-08-01T02:40:00.344032Z digest=sha256:e6a127e1a1f1a794aedf427e3e2cd016b10b315d31be3e21f6efa81ad4c71418

Observation eb2c27ed-6941-4041-8e69-8a2dd75b04e5 · outbound

This paper cites an unresolved cited work.

The primitive equations on curved surfaces Unresolved cited work

Reference 11

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Observation 89ff08ba-7a05-4ff0-9a80-7fed705e8233 · outbound

This paper cites Furukawa, Y.

The primitive equations on curved surfaces Furukawa, Y

Reference 12

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Observation e2fb4226-796f-4d94-ba1f-d460c76a407a · outbound

This paper cites Furukawa, Y.

The primitive equations on curved surfaces Furukawa, Y

Reference 13

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Observation 00ec5531-2cc5-4501-84d6-31d66c1f0e2d · outbound

This paper cites Galdi, M.

The primitive equations on curved surfaces Galdi, M

Reference 14

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Observation 5ee1ee4d-bda0-4208-b962-f3bbf70552f0 · outbound

This paper cites an unresolved cited work.

The primitive equations on curved surfaces Unresolved cited work

Reference 15

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Observation 8653cb75-689c-4080-bff5-50db49eb6e52 · outbound

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The primitive equations on curved surfaces Unresolved cited work

Reference 16

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Observation e74102c6-0b7b-448e-bf20-9d04b8ce2c1d · outbound

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The primitive equations on curved surfaces Unresolved cited work

Reference 17

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Observation d62fc9de-2320-449d-8151-72454120e501 · outbound

This paper cites an unresolved cited work.

The primitive equations on curved surfaces Unresolved cited work

Reference 18

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Observation c6769f78-6036-4b11-bd67-d3d85b2507b3 · outbound

This paper cites Hieber, A.

The primitive equations on curved surfaces Hieber, A

Reference 19

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Observation bea51688-238a-4336-bafd-d44607c822bd · outbound

This paper cites Hieber, T.

The primitive equations on curved surfaces Hieber, T

Reference 20

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Observation b24dcb20-12ac-480f-8aaa-305c3d473fe8 · outbound

This paper cites Hyt¨ onen, J.

The primitive equations on curved surfaces Hyt¨ onen, J

Reference 21

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Observation a5a953dc-282a-4d0d-beea-69afb8f8601e · outbound

This paper cites in the large.

The primitive equations on curved surfaces in the large

Reference 22

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Observation 7dd25613-31c3-4b56-8868-ae7a814d1295 · outbound

This paper cites Korn,Global well-posedness of the viscous primitive equations with a free surface.Personal communica- tion (2026).

The primitive equations on curved surfaces Korn,Global well-posedness of the viscous primitive equations with a free surface.Personal communica- tion (2026)

Reference 23

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Observation 8b2c459c-0e0a-49b2-9501-a7db97ef9cbe · outbound

This paper cites Kukavica, M.

The primitive equations on curved surfaces Kukavica, M

Reference 24

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Observation 3c4bd9e0-fc68-47cd-9436-0dfb6b54bfa7 · outbound

This paper cites an unresolved cited work.

The primitive equations on curved surfaces Unresolved cited work

Reference 25

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Observation cf0bcd0f-b450-4fd3-a33c-b4c9039b0cd4 · outbound

This paper cites an unresolved cited work.

The primitive equations on curved surfaces Unresolved cited work

Reference 26

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Observation fce3fef4-e215-4dc8-a623-cb5d05955e95 · outbound

This paper cites Lions, R.

The primitive equations on curved surfaces Lions, R

Reference 27

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Observation dd2ef048-d669-412c-8ca5-00850a127ceb · outbound

This paper cites Lions, R.

The primitive equations on curved surfaces Lions, R

Reference 28

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Observation e23744f6-c046-4a7b-9ee5-143faf3d717b · outbound

This paper cites Lions, R.

The primitive equations on curved surfaces Lions, R

Reference 29

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Observation 726e09f1-6450-4de5-bdb2-3ce409efbaaa · outbound

This paper cites Meyries, R.

The primitive equations on curved surfaces Meyries, R

Reference 30

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source=pdf_text observed=2026-08-01T02:40:02.380263Z digest=sha256:a21d42f15955f78df8ccaacbc6a82bbb5501b8eca4507e801702e9b993fc47d4

Observation b253a184-3e25-47f5-9af0-d41ea92416e5 · outbound

This paper cites Meyries, M.

The primitive equations on curved surfaces Meyries, M

Reference 31

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Observation dd840f67-d201-4577-bf2d-e9e14d543227 · outbound

This paper cites M¨ uller,The Equations of Oceanic Motions.

The primitive equations on curved surfaces M¨ uller,The Equations of Oceanic Motions

Reference 32

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Observation b20365e2-3101-4c73-b976-0aecbef50a50 · outbound

This paper cites Pedlovsky,Geophysical Fluid Dynamics.Second edition.

The primitive equations on curved surfaces Pedlovsky,Geophysical Fluid Dynamics.Second edition

Reference 33

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Observation 29eccac7-387a-4d9b-8ed7-91e478c1ac2c · outbound

This paper cites Petersen,Riemannian Geometry.Second edition.

The primitive equations on curved surfaces Petersen,Riemannian Geometry.Second edition

Reference 34

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source=pdf_text observed=2026-08-01T02:40:02.739825Z digest=sha256:6229860b2324349457fe180caa8898532d40746d769a4e4455e38d2a7a4868f5

Observation 265293a9-1dff-4ecb-95af-4756c6f7e4ce · outbound

This paper cites Pr¨ uss, G.

The primitive equations on curved surfaces Pr¨ uss, G

Reference 35

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source=pdf_text observed=2026-08-01T02:40:02.800041Z digest=sha256:240d0e5fc3b9dd4cb39b8a4b72c62250a22f8c4ea4ccab4728a20ed9ba216943

Observation c0cbc21e-4123-4ae7-8f8d-f5af63a1d3e3 · outbound

This paper cites On quasilinear parabolic evolution equations in weighted Lp-spaces II.

The primitive equations on curved surfaces On quasilinear parabolic evolution equations in weighted Lp-spaces II

Reference 36

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source=pdf_text observed=2026-08-01T02:40:02.958668Z digest=sha256:6e31c675ab8a349d9954d1c868e2d3568b18939c1b1fd6ce2927e5f2bbce8c38

Observation dced693e-31ed-4914-9231-56862523effc · outbound

This paper cites Pr¨ uss, G.

The primitive equations on curved surfaces Pr¨ uss, G

Reference 37

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source=pdf_text observed=2026-08-01T02:40:03.083024Z digest=sha256:d28b932f95cf7057ab80367b156b9d73c3a5f089e3551bcb6014116ed09ceaad

Observation 823b744e-f473-49a3-933c-ab8a41ff56d3 · outbound

This paper cites Pr¨ uss, G.

The primitive equations on curved surfaces Pr¨ uss, G

Reference 38

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source=pdf_text observed=2026-08-01T02:40:03.210394Z digest=sha256:53cbd76f7460979b204059c1c27b6ff6a545cdb970470dce41be00b133b35ac4

Observation 593895d4-fe89-42bd-bd8f-1be788fbf7b8 · outbound

This paper cites Samavaki, J.

The primitive equations on curved surfaces Samavaki, J

Reference 39

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source=pdf_text observed=2026-08-01T02:40:03.290878Z digest=sha256:f222739211ab6a88523d62d81860acedb44031cd352ec80bb747812da3b7c4d0

Observation 4b618723-4d30-44e3-b288-9f469bc110fe · outbound

This paper cites an unresolved cited work.

The primitive equations on curved surfaces Unresolved cited work

Reference 40

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source=pdf_text observed=2026-08-01T02:40:03.355952Z digest=sha256:6577b4dea3c410873060d974d64916225e3923242fd69794124937904ddf092e

Observation 73a8c32b-e76d-415a-8b37-f56b6a91b968 · outbound

This paper cites Simonett, M.

The primitive equations on curved surfaces Simonett, M

Reference 41

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source=pdf_text observed=2026-08-01T02:40:03.414215Z digest=sha256:10fa6c6cc4e49e6a4fbe0345357dfb8eb0a2f52d1890fb3c632f8476f6896f11

Observation 6595b8a8-3876-4224-a092-9bec46d1da06 · outbound

This paper cites Triebel,Interpolation Theory, Function Spaces, Differential Operators.North-Holland Publishing Co., Amsterdam-New York, 1978.

The primitive equations on curved surfaces Triebel,Interpolation Theory, Function Spaces, Differential Operators.North-Holland Publishing Co., Amsterdam-New York, 1978

Reference 42

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Pith citing papers

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