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Paper Citation Record · LEDGER

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

As of 24 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 2026-08-23T06:30:58.430688+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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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=sha256:23c3bc4a3702f4c686ecc03f3cf84c02c9aefa885d4d74378f7bae61044ff1d9

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=sha256:04b848f096d1cc72520302760338ef2072c1f7c4f4b8f57afdaeb9717090ba10

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:d65eb9b0358eb74dfacaee19c68af518b21e62520355230b33d35e90dfb575dc

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:a3cd5b5b0c5099f33cc5c2c2e0f27b86c1621e5ffbe9630172ffd9f47d6b3525

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=sha256:208039e5d54733de4dc149e2bde21d49a31c1b17010e206336dd476f694a1e51

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=sha256:8312dee5353f889dd751ee08a8015bf9432c668fcf58ba1154bd102905117ab2

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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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=sha256:76512ab4f4f8f0ed29392a365855333952d142e3f9b04a4e0ca542d3bbbb31a6

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:c0fae5b62f21c01961184ca2166b5fcd7ccfc8578fe7ac215ef12fbeb7ad2e1f

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

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

Reference 22

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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=sha256:9ad82260bc2f735fb3d307a0c56c0df3eed6616a3ff7d5bad169535b65159e77

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:e75f80b2aae5591a67e4f26d4d244c3ab1989c8c75b9b44c899aac409e40296b

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:d40a7f8812c7f1bc8e4ea9aff68f73713e3a48d5606fafda953e45c34b6eaf55

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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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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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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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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source=pdf_text observed=2026-06-25T20:36:29.056637Z digest=sha256:24ff0e34bc0d708afc1e16ff5c1e7390414b8875ce3ece1f7c866a02fb808936

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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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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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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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=sha256:6d2e162ad5f8c7f6e130194b32dfe9a862766bddb87057bd19a813abe85549a2

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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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

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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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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

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

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+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

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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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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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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

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

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+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

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

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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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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Pith citing papers

No inbound Pith citation observations are available.