Paper Citation Record · LEDGER

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs

As of 14 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 3 inbound Pith citation observations for arXiv:2512.12878.

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

pith.paper-citation-record.v1
2512.12878 v3

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T16:44:44.535431Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T11:23:45.636604Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T18:00:01.300383Z

Reference resolution

34 of 34 outbound references displayed

verified exact0
verified fuzzy0
unresolved34
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e4c28a94-4fa2-4175-8480-ec1e1a144dd5 · outbound

This paper cites an unresolved cited work.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:41.917335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af628500-b601-40e6-a66c-5318b098fdac · outbound

This paper cites an unresolved cited work.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:42.008123Z

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Observation 4d4e5060-3209-4432-baf5-b89f4304fc23 · outbound

This paper cites an unresolved cited work.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Unresolved cited work

Reference 3

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Observation ef39278d-da18-458b-94ce-7eb85cbc9667 · outbound

This paper cites Acharya, I.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Acharya, I

Reference 4

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Observation 293d1167-bff9-491b-9a5e-36d4381187eb · outbound

This paper cites Acharya and J.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Acharya and J

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:42.292369Z

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Observation 75d84d56-6ba3-4310-b0f2-9e4f9fbb9dcd · outbound

This paper cites Acharya, J.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Acharya, J

Reference 6

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Source-reported events for the cited work

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Observation 18086f70-79fc-4913-92ee-4ad5332124f7 · outbound

This paper cites Acharya and A.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Acharya and A

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:42.444367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ca083ce-4db1-47f7-8932-90b48b827af4 · outbound

This paper cites Acharya and M.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Acharya and M

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:42.571121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d200094-4116-4f80-b466-33bdbe3a3aeb · outbound

This paper cites Acharya, B.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Acharya, B

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:42.655657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d9fba2d-13b3-4019-ae6f-444626736240 · outbound

This paper cites Acharya and L.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Acharya and L

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:42.719787Z

Source-reported events for the cited work

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Observation a5a664e7-c8c6-4e6c-b473-993012c24ced · outbound

This paper cites Alvarez, P.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Alvarez, P

Reference 11

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Source-reported events for the cited work

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Observation f605d51d-f3e1-414e-80dc-e01a59a8e4a1 · outbound

This paper cites Arora and A.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Arora and A

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:42.884400Z

Source-reported events for the cited work

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Observation 3d120aa1-f703-4c0f-a733-303705a557fc · outbound

This paper cites Attouch, G.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Attouch, G

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:42.961326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b3c7486-adc0-4a6c-b3b9-5ef4d3856cdd · outbound

This paper cites an unresolved cited work.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Unresolved cited work

Reference 14

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ac58e58-e613-4c24-95fa-8385b59bc019 · outbound

This paper cites an unresolved cited work.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Unresolved cited work

Reference 15

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d07569c-7ee2-4987-a0a6-9b2a2f4d0b6a · outbound

This paper cites Brenier and I.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Brenier and I

Reference 16

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Observation 3efc150d-22d4-48c8-a45c-819e5f3c0df9 · outbound

This paper cites Cardaliaguet, F.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Cardaliaguet, F

Reference 17

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d421d372-2c71-4e56-ad37-c254022b871d · outbound

This paper cites Ghoussoub.Self-dual partial differential systems and their variational principles.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Ghoussoub.Self-dual partial differential systems and their variational principles

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:43.336009Z

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Observation 0ed1b7c4-5181-4f9d-a256-d2d070cc973a · outbound

This paper cites Gimperlein, M.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Gimperlein, M

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:43.403658Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ff3cba5-a19f-4fa7-b93b-2b7040c9c2b3 · outbound

This paper cites Gimperlein, M.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Gimperlein, M

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:43.459349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5677af8-b338-4ce3-bfb0-993a26bd3e9e · outbound

This paper cites an unresolved cited work.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:43.523044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a730e22-f229-414f-8c9a-303b5b8636bc · outbound

This paper cites Kouskiya.Computational Analysis of a duality based approach for solving ordinary and partial differential equations.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Kouskiya.Computational Analysis of a duality based approach for solving ordinary and partial differential equations

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:43.635866Z

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Observation 8cba149b-5145-4e93-a91e-73c52b01d01f · outbound

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On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Kouskiya and A

Reference 23

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Observation 485012c2-4d90-4f60-9f1f-c960d58820f3 · outbound

This paper cites Kouskiya and A.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Kouskiya and A

Reference 24

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Observation ed84f4e1-fddc-48f0-b92a-af4408d04fd0 · outbound

This paper cites Kouskiya, R.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Kouskiya, R

Reference 25

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Observation 7e02e5cf-e889-41c8-ac3c-0264314edd1a · outbound

This paper cites Mirebeau and E.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Mirebeau and E

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:43.957815Z

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Observation b8522ca4-ff11-452d-9795-d94bc6267f28 · outbound

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On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Morin and A

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:44.035727Z

Source-reported events for the cited work

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Observation a1118e19-71a5-48e0-a9b8-e625fde519db · outbound

This paper cites an unresolved cited work.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:44.134406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 230adf19-ef94-4803-958f-34be97d582f1 · outbound

This paper cites Singh, J.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Singh, J

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:44.190969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9439010f-1e1f-40ac-b3ce-f48952a5af16 · outbound

This paper cites Sukumar and A.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Sukumar and A

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:44.268028Z

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Observation 96705338-ea03-4c8b-b3f2-ce61055c81b6 · outbound

This paper cites Vorotnikov.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Vorotnikov

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:44.320645Z

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Unavailable: canonical work link unavailable.

Observation 8fa1e4c1-06c8-401b-b2e5-4af94eccd615 · outbound

This paper cites Vorotnikov.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Vorotnikov

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:44.377364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c507c9e2-8469-42c4-a866-00b4369a6bcb · outbound

This paper cites Zhang, X.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Zhang, X

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:44.441997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57363dbd-c76c-4aa8-961b-d30bc45c491a · outbound

This paper cites Zhang, A.

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs Zhang, A

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T16:44:44.535431Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation 8243de50-358e-4eb9-8d99-61bdde26ea91 · inbound

A unified duality framework for barotropic, quantum and Korteweg fluids cites this paper.

A unified duality framework for barotropic, quantum and Korteweg fluids On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-02T22:00:58.127174Z

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Observation 6d188410-dc5a-4bcd-a10d-90101b857838 · inbound

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials cites this paper.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-07-23T02:24:07.531724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2f728a76-fb70-47eb-ab0a-a4b78f7358cb · inbound

Solving the Dissipation Inequality not as a constitutive restriction cites this paper.

Solving the Dissipation Inequality not as a constitutive restriction On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T11:23:45.636604Z

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Unavailable: canonical work link unavailable.