Paper Citation Record · LEDGER

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system

As of 20 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2504.21729.

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pith.paper-citation-record.v1
2504.21729 v1

Coverage vector

measured 33 of 33 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-16T05:02:04.263864Z

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

33 of 33 outbound references displayed

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Outbound references

Observation b23fa786-6dab-4f6d-8381-06949c6770d3 · outbound

This paper cites From the Vlasov-Maxwell-Boltzmann system to incompressib le viscous electro- magneto-hydrodynamics, European Mathematical Society Press, 2016.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system From the Vlasov-Maxwell-Boltzmann system to incompressib le viscous electro- magneto-hydrodynamics, European Mathematical Society Press, 2016

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:02:04.878928Z

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Observation fb2707c0-98af-4de9-99ae-2be503b4db05 · outbound

This paper cites Fluid dynamic lim its of kinetic equations I: Formal derivations, J.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Fluid dynamic lim its of kinetic equations I: Formal derivations, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:02:04.860423Z

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Observation b9021c0f-3421-41d0-b90e-a03c0cb38568 · outbound

This paper cites and Levermore, D.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system and Levermore, D

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:02:04.844076Z

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Observation eb7c91a9-aabf-4b65-ac86-12200a533f3c · outbound

This paper cites The classical incompressible Nav ier-Stokes limit of the Boltzmann equation, Math.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system The classical incompressible Nav ier-Stokes limit of the Boltzmann equation, Math

Reference 4

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Observation 5eddbbf0-7350-4029-9a3d-6346b159f89f · outbound

This paper cites an unresolved cited work.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:02:04.808896Z

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Observation ecb74b4b-0210-4ea9-b903-9d2918e58ff3 · outbound

This paper cites Cambridge University Press, London (1970).

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Cambridge University Press, London (1970)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:02:04.791778Z

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Observation 6069842f-2b06-46de-83a8-6350217cb9dc · outbound

This paper cites an unresolved cited work.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:02:04.772587Z

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This paper cites an unresolved cited work.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:02:04.755730Z

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This paper cites an unresolved cited work.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:02:04.738228Z

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Observation ca78998a-1c8c-495c-8d63-d75b4b8a2a25 · outbound

This paper cites an unresolved cited work.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:02:04.717308Z

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Observation 79ebc9c9-e0de-4861-8ca7-bbf44407a3fb · outbound

This paper cites and Saint-Raymond, L.: The Navier-Stokes lim it of the Boltzmann equation for bounded collision kernels.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system and Saint-Raymond, L.: The Navier-Stokes lim it of the Boltzmann equation for bounded collision kernels

Reference 11

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Observation 1db045b8-9c9a-4732-8fb2-ddfef1b16a2d · outbound

This paper cites Springer.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Springer

Reference 12

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Observation 40d47095-9987-4aa4-b2dc-5d7d20a90d9b · outbound

This paper cites and Jang, J.: Global Hilbert Expansion for the Vl asov-Poisson-Boltzmann System.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system and Jang, J.: Global Hilbert Expansion for the Vl asov-Poisson-Boltzmann System

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:02:04.657699Z

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Observation aa45c4cb-b5e6-4230-95c7-b583723b8507 · outbound

This paper cites an unresolved cited work.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:02:04.641484Z

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Observation 5464e4bc-3fc0-46ca-8c1a-1b7b83d5ac4d · outbound

This paper cites Pure Appl.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Pure Appl

Reference 15

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Observation 0c25c145-4477-4ace-b96c-a482123844e4 · outbound

This paper cites an unresolved cited work.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:02:04.607910Z

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Observation 7ba9efd6-4929-410b-b8b1-f0f11defe70c · outbound

This paper cites The incompressible Navier-Stokes-Fourier-Maxwell system limits of the Vlasov-Maxwell-Boltzmann system for soft potentials: the noncutoff cases and cutoff cases.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system The incompressible Navier-Stokes-Fourier-Maxwell system limits of the Vlasov-Maxwell-Boltzmann system for soft potentials: the noncutoff cases and cutoff cases

Reference 17

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Observation 2ddace96-496d-4295-8d86-2441ba95d16c · outbound

This paper cites Annals of PDE (2022) 8:4 https://doi.org/10.1007/s40818-022-00117-6.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Annals of PDE (2022) 8:4 https://doi.org/10.1007/s40818-022-00117-6

Reference 18

Resolution: verified exact; doi, observed 2026-08-16T05:02:04.324676Z

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Observation 3b6393ec-7b37-4283-a1b1-ace14b955191 · outbound

This paper cites an unresolved cited work.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:02:04.589328Z

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Observation 0db196f1-7c26-489a-8715-0483504421ee · outbound

This paper cites Springer, New York (1996).

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Springer, New York (1996)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:02:04.569427Z

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Observation 9188b7f9-4140-4570-b173-d3a465086ae1 · outbound

This paper cites an unresolved cited work.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Unresolved cited work

Reference 21

Resolution: verified exact; doi, observed 2026-08-16T05:02:04.307444Z

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Observation 9eb3e83d-7fee-491b-9437-6ee2ccb5795d · outbound

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Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:02:04.553426Z

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Observation b8281c53-b31c-404c-8ace-feb03ed84d90 · outbound

This paper cites Indiana Univ.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Indiana Univ

Reference 23

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Observation 3f63a834-b797-4c4e-8f56-92d1b15bfe19 · outbound

This paper cites an unresolved cited work.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:02:04.522260Z

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Observation 0c9015f2-ad7a-4984-b534-930d9351ecbc · outbound

This paper cites Esposito, R.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Esposito, R

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:02:04.505846Z

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Observation f1ac9b56-c2e8-495f-bc1d-6330c2c73d46 · outbound

This paper cites an unresolved cited work.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:02:04.489387Z

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Observation 06f06aca-5447-4f09-ba1e-769013c62d07 · outbound

This paper cites Transactions of the American Mathematical Society, 154, (1971).

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Transactions of the American Mathematical Society, 154, (1971)

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:02:04.472938Z

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Observation 33cef9d9-f297-4a12-80c6-035e13d144ef · outbound

This paper cites an unresolved cited work.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:02:04.455051Z

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Observation ebbb2639-c430-423d-9438-b31d5ecc18ba · outbound

This paper cites M.: The Vlasov-Maxwell-Boltzmann system in t he whole space.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system M.: The Vlasov-Maxwell-Boltzmann system in t he whole space

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:02:04.438074Z

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Observation f84ed9ec-b0db-4270-a2a9-4638c0f6175f · outbound

This paper cites JA Barth.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system JA Barth

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:02:04.420391Z

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Observation 8e7851ec-286e-4280-b3be-50f94c31ea82 · outbound

This paper cites an unresolved cited work.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:02:04.403943Z

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Observation 3ecdb220-b4e7-437f-8c3e-b5a7c2089a01 · outbound

This paper cites an unresolved cited work.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:02:04.386869Z

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Observation 99d4fdaa-aad3-46ee-a0dd-07b35290d2c1 · outbound

This paper cites Diffusion Limit with Optimal Convergence Rate of Classical Solutions to the Vlasov-Maxwell-Boltzmann System.

Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system Diffusion Limit with Optimal Convergence Rate of Classical Solutions to the Vlasov-Maxwell-Boltzmann System

Reference 33

Resolution: metadata mismatch; local_arxiv, observed 2026-08-16T05:02:04.347678Z

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