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Paper Citation Record · LEDGER

Non-uniqueness of weak solutions to cross-diffusion systems with advection

As of 5 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2606.25783.

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

pith.paper-citation-record.v1
2606.25783 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-25T20:36:29.056637Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+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

49 of 49 outbound references displayed

  • verified exact9
  • verified fuzzy0
  • unresolved40
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0056954b-c3f3-4c16-9f73-8c7828e973c9 · outbound

This paper cites Ambrosio, N.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Ambrosio, N

Reference 1

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Observation 186b140f-fad0-46a9-9eb6-a5c793464f0f · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Unresolved cited work

Reference 2

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:54bebd29f370466dfaabda80e50bebfb9b49b62ff3b3452f6904725a7a10291c

Observation d56b3f3d-b278-4317-aaa9-8b20ef1ea373 · outbound

This paper cites Bailo, J.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Bailo, J

Reference 3

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:82de80c91b68b52bce9817599900c8583d4e9cac93603df3d1cd554fe468152a

Observation 528edf43-a521-4036-9ade-05215870a6d8 · outbound

This paper cites Bansaye, A.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Bansaye, A

Reference 4

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:1da107926ba7811488006cca8efc8981a16492bc56bdfb5855076aaf0da79e2c

Observation 4bbe3b59-4881-42f1-8076-aae1a66e5e06 · outbound

This paper cites Bertsch, R.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Bertsch, R

Reference 5

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:8f35f192142074d7927cda0f1cd3c0c869a226c067d1dd74ce2a7660af972040

Observation 2efff44a-72f4-48df-ae68-fe46de267ced · outbound

This paper cites Bertsch, M.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Bertsch, M

Reference 6

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:8b7ac9db8b61c9e38342800b26214fc25fda0e5ce3ea87c95a84b11b1511049a

Observation 30b96636-5ccb-4a45-b209-0939879501d5 · outbound

This paper cites Bertsch, M.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Bertsch, M

Reference 7

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:420de62c87580011f765c0a174c44f9424ef07dccdda09885428f646cdd1c1c1

Observation 12d5601b-e561-45f5-b468-ff65a402bdf8 · outbound

This paper cites Bertsch, D.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Bertsch, D

Reference 8

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:b4fa652db0b944af35da0ff0d6f2f6b36c2029bc3d6bd01ab658124856604556

Observation 5b9c6ed0-2f40-48d4-81e9-22f66949e8ac · outbound

This paper cites Brezis.Functional analysis, Sobolev spaces and partial differential equations.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Brezis.Functional analysis, Sobolev spaces and partial differential equations

Reference 9

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Observation c09cd40e-ef09-431d-8329-26c837d8ba6c · outbound

This paper cites Bubba, B.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Bubba, B

Reference 10

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:6ba45a6d61950cfef3d593e7214dc3a68715fb1fc67e79745b5159373e877a8c

Observation be2ad26a-9a98-4986-8363-3b9d755cfc20 · outbound

This paper cites Busenberg and C.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Busenberg and C

Reference 11

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:056914a7853bd2da5b54fa8bad6c66c16b12bbe5abd1ff6188aa34beef539b7e

Observation f3093ccb-0857-4a15-9f4d-d18ae491e1c9 · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Unresolved cited work

Reference 12

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:5778375b47c3cd76d7d82de14c68df6569b36412da62790097f9be195226ac1e

Observation 16fbc113-388d-48d0-b400-414eaeb8e51b · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Unresolved cited work

Reference 13

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Observation 68bdd9d8-3cc5-4bdc-8b69-8e78eb94c482 · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Unresolved cited work

Reference 14

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:39296ecbc505368d522cde9748b3fa9945d730d1536fe8ce540fb29fb6a2b6ea

Observation b1c39a6a-be74-452d-960d-3841f56f8bcc · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Unresolved cited work

Reference 15

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:a5482c3fe4bf663d915a4529b4d026181cdd042c550617b8dd49fb3a27cb8d44

Observation c53299ff-e3fb-4a23-b00a-3ad78840a210 · outbound

This paper cites Propagation of chaos for multi-species moderately interacting particle systems up to Newtonian singularity.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Propagation of chaos for multi-species moderately interacting particle systems up to Newtonian singularity

Reference 16

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arxiv_id, observed 2026-07-04T20:10:07.881638Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 00aeb78a-94bd-4fa9-bafc-99c590aea620 · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Unresolved cited work

Reference 17

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation eac0ba1d-50b5-44ca-be4c-467c3a7639a9 · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Unresolved cited work

Reference 18

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:c25d2c8cf266138cbe78f3571fb9e623dce555382c9ae5fb9e069b3beaa72e25

Observation 4b5a3a24-0eb2-4ab0-bf07-7b3c72191c52 · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Unresolved cited work

Reference 19

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:45637a199981b72a22f9e15e753797d559dd1dfe5207ada01b18382182d77049

Observation 55939c6a-5518-4e5b-a251-06ac08e8e65b · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Unresolved cited work

Reference 20

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arxiv_id, observed 2026-07-04T20:10:07.904303Z

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:abad8ea0b1ca59c708f02d66c75d48ccbb6b36ff0d32ccb8356904ea4ae54671

Observation 94e86912-01b9-4d8e-9912-1a795e75710a · outbound

This paper cites The Stein-log-Sobolev inequality and the exponential rate of convergence for the continuous Stein variational gradient descent method.

Non-uniqueness of weak solutions to cross-diffusion systems with advection The Stein-log-Sobolev inequality and the exponential rate of convergence for the continuous Stein variational gradient descent method

Reference 21

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:0020adfdbae05f3890d87977862bf38d445deeedf5c3c7b01d83743a07cc22c7

Observation 605ef6c5-1ae7-4087-8671-4be73df300a8 · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Unresolved cited work

Reference 22

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:79b17d7b569139adfd21c7e2cd53744f751a944e70d1be81cb864799b28a9b66

Observation ffec5c87-bda5-4881-be9f-cd053bce3bf9 · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Unresolved cited work

Reference 23

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:200dcaaf79ddd8cd780dfe62cd69609831cce0bdc3803dbd4781c878d549c194

Observation e1d943cd-9391-47b5-b84e-d15ccbd396e5 · outbound

This paper cites Chen and A.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Chen and A

Reference 24

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Observation 221d2505-ce30-4bf6-a2e8-1837798222e0 · outbound

This paper cites Dębiec, B.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Dębiec, B

Reference 25

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:1e5aed424929e814e3f593a47f125884bb0c233e54f3f285326f59fd33c9a9f3

Observation 965383cf-5079-4372-866d-25c9c3dc5b8c · outbound

This paper cites Druet, K.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Druet, K

Reference 26

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:db315dd79f91ab9e82cbdbcf8b0f7320d23d266c9a0b0d991f55f7d923038018

Observation dde3bb2d-7378-4269-8cf8-d04df129ae68 · outbound

This paper cites Druet and A.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Druet and A

Reference 27

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:2fe07bd6787179dcebabaae3d3a35890d9f6879f79bae547bc42ab2ffb2f8da0

Observation d5ebb5d4-4946-4d76-b74d-2b8bf53cad9a · outbound

This paper cites Global existence for a system without self-diffusion and different mobilities.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Global existence for a system without self-diffusion and different mobilities

Reference 28

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local_arxiv, observed 2026-07-04T20:10:07.867023Z

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Observation c148e590-3f8d-4351-849d-5bd6cd27c9a9 · outbound

This paper cites Elbar and G.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Elbar and G

Reference 29

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:e449b6456aacc7e106eb45bcd8111b371749ffb81f6850f0200450c4982ee95e

Observation 66766585-a1e3-4550-aded-76226aa990a0 · outbound

This paper cites Elbar and F.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Elbar and F

Reference 30

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Observation 3e355813-4911-4cd5-b6b4-ca0986f46e2d · outbound

This paper cites Elbar and J.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Elbar and J

Reference 31

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Observation 33ca9700-dbde-4128-969e-f843c950471e · outbound

This paper cites Falcó, R.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Falcó, R

Reference 32

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Observation 8ca42360-91e1-4da4-862f-2d33aac40983 · outbound

This paper cites Galiano, S.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Galiano, S

Reference 33

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:c9fe0372d8eb4f983cd358cde735c7ef44e7b078bcfb0f3624f873fb54feb3c6

Observation 7fe88bcb-6ee5-4643-889c-5d9c85be226b · outbound

This paper cites Giri and H.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Giri and H

Reference 34

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Observation 5a8dd470-1c0a-4ed9-8a2f-96e2dc471727 · outbound

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Non-uniqueness of weak solutions to cross-diffusion systems with advection Unresolved cited work

Reference 35

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Observation 3f859367-d323-46bd-9730-054a632a65d9 · outbound

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Non-uniqueness of weak solutions to cross-diffusion systems with advection Unresolved cited work

Reference 36

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:f42eec3d8bff0051c5c67a4ca448d39262857a90f9e613f5e61c227ddbcb0540

Observation b8d8eb5a-4927-4482-95b5-66d3575a2d52 · outbound

This paper cites Gwiazda, B.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Gwiazda, B

Reference 37

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:3e4ef9a64850e9e5260a09df9b53ff9a719dc96b420fdd0f9157b6ebe402f960

Observation c2898917-e36b-4b9f-b8e5-b9c87fddeca1 · outbound

This paper cites Hopf and A.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Hopf and A

Reference 38

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Observation 445d7ce6-eee8-4372-bc67-51d605eff56e · outbound

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Non-uniqueness of weak solutions to cross-diffusion systems with advection Unresolved cited work

Reference 39

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:06d15114188d3466f3be62e6e7e412bae3bd343a3721e4e24e167356891b2055

Observation 784434f0-6aed-4804-a1ea-d0b9845443f9 · outbound

This paper cites Kim and A.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Kim and A

Reference 40

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Unavailable: canonical work link unavailable.

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Observation 64d522b2-809f-4823-bddc-fcbbdc2cc66a · outbound

This paper cites Laurençot and B.-V.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Laurençot and B.-V

Reference 41

Resolution
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no resolver link, observed 2026-06-25T20:36:29.056637Z

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Observation aaa54b44-0957-4401-bc2c-19df52835ceb · outbound

This paper cites Matthes and C.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Matthes and C

Reference 42

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no resolver link, observed 2026-06-25T20:36:29.056637Z

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Observation c8dae6a5-169f-4736-9f38-43e3667a5ab1 · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Unresolved cited work

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-07-04T20:10:07.857196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 6acd9321-60a9-4e05-99b0-de2b4def887a · outbound

This paper cites Murakawa and H.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Murakawa and H

Reference 44

Resolution
unresolved
no resolver link, observed 2026-06-25T20:36:29.056637Z

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Observation 3779b763-d7ba-4e05-ae84-998cccb60abe · outbound

This paper cites Perthame, F.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Perthame, F

Reference 45

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unresolved
no resolver link, observed 2026-06-25T20:36:29.056637Z

Source-reported events for the cited work

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Observation e20b0eb3-31e2-488c-89aa-0b1bc282182a · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Unresolved cited work

Reference 46

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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:3c88375faeca35118014094c73e176438a29017178d4dcdaaf0360a91138e93d

Observation 13b2e7d0-5279-46cc-855c-39d664a7a90a · outbound

This paper cites Santambrogio and S.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Santambrogio and S

Reference 47

Resolution
verified exact
arxiv_id, observed 2026-07-04T20:10:07.861879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 107349f7-9759-4a0f-ac32-8d6225fe432c · outbound

This paper cites Global solutions to cross-diffusion systems with independent advections in one dimension.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Global solutions to cross-diffusion systems with independent advections in one dimension

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-07-04T20:10:07.894269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:32dcb634e915df4f3050adda00d81f99831451b73951b550e911ec4940797466

Observation 3deaa8c6-82ba-48ac-af1b-407e4250bda5 · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to cross-diffusion systems with advection Unresolved cited work

Reference 49

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Pith citing papers

No inbound Pith citation observations are available.