Paper Citation Record · LEDGER

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations

As of 11 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2607.18939.

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pith.paper-citation-record.v1
2607.18939 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T13:57:09.268363Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T05:23:55.520522Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

33 of 33 outbound references displayed

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External citation measurements

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Outbound references

Observation eb558033-0034-4875-97a0-3faefabd0f7b · outbound

This paper cites The Gaussian- BGK model of Boltzmann equation with small Prandtl number.Eur.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations The Gaussian- BGK model of Boltzmann equation with small Prandtl number.Eur

Reference 1

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Observation 8394bf73-1f55-4d9d-a189-26fe38803978 · outbound

This paper cites From Boltzmann’s equation to the incompressible Navier-Stokes-Fourier sys- tem with long-range interactions.Arch.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations From Boltzmann’s equation to the incompressible Navier-Stokes-Fourier sys- tem with long-range interactions.Arch

Reference 2

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Observation 6450de0b-2993-45cb-b450-407022bc75d6 · outbound

This paper cites Wiss.Berlin: Springer, 2011.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations Wiss.Berlin: Springer, 2011

Reference 3

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Observation 4ee89ef8-046a-4b23-bdd9-9c415dd8478c · outbound

This paper cites David Levermore.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations David Levermore

Reference 4

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Observation 59288005-c29a-4de5-88bf-e88ec3bbaa6b · outbound

This paper cites Fluid dynamic limits of kinetic equa- tions.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations Fluid dynamic limits of kinetic equa- tions

Reference 5

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Observation b9974631-e493-473e-b207-0358ed7720ab · outbound

This paper cites The classical incompressible Navier-Stokes limit of the Boltz- mann equation.Math.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations The classical incompressible Navier-Stokes limit of the Boltz- mann equation.Math

Reference 6

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Observation 5cbd75e8-bd21-482d-b480-e409fb62b4b8 · outbound

This paper cites an unresolved cited work.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations Unresolved cited work

Reference 7

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Observation 850a8680-347d-40ce-96e5-c0973d85ba31 · outbound

This paper cites From the Boltzmann equation to the incompressible Navier-Stokes equations on the torus: a quantitative error estimate.J.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations From the Boltzmann equation to the incompressible Navier-Stokes equations on the torus: a quantitative error estimate.J

Reference 8

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Observation 5ab7ca41-026b-4164-8f09-aedfece787a4 · outbound

This paper cites From Boltzmann to incompress- ible Navier-Stokes in Sobolev spaces with polynomial weight.Anal.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations From Boltzmann to incompress- ible Navier-Stokes in Sobolev spaces with polynomial weight.Anal

Reference 9

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Observation a018b4fb-edf6-4cb2-838c-dbd75357058f · outbound

This paper cites Hydrodynamic limit for the non-cutoff Boltzmann equa- tion.Ann.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations Hydrodynamic limit for the non-cutoff Boltzmann equa- tion.Ann

Reference 10

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Observation 537395e8-2acf-4f83-b965-ea3055f72497 · outbound

This paper cites The Navier–Stokes limit of kinetic equations for low regularity data.Tunis.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations The Navier–Stokes limit of kinetic equations for low regularity data.Tunis

Reference 11

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Observation b8b08bc7-614e-4218-8665-072efc2155ad · outbound

This paper cites Regularization estimates and hydrodynamical limit for the Landau equation.J.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations Regularization estimates and hydrodynamical limit for the Landau equation.J

Reference 12

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Observation 5212e914-e869-4539-85f2-4c982a4e29b5 · outbound

This paper cites Global classical solutions of the Vlasov-Fokker-Planck equation with local alignment forces.Nonlinearity, 29(7):1887–1916, 2016.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations Global classical solutions of the Vlasov-Fokker-Planck equation with local alignment forces.Nonlinearity, 29(7):1887–1916, 2016

Reference 13

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Observation aaf3eb1f-33df-4bed-82ce-53d528cb611f · outbound

This paper cites Global existence of weak solutions to the nonlinear Vlasov-Fokker-Planck equation.J.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations Global existence of weak solutions to the nonlinear Vlasov-Fokker-Planck equation.J

Reference 14

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Observation 7874bd2b-a24f-4281-af15-4264726481bf · outbound

This paper cites Incompressible Navier-Stokes limit from nonlinear Vlasov- Fokker-Planck equation.Appl.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations Incompressible Navier-Stokes limit from nonlinear Vlasov- Fokker-Planck equation.Appl

Reference 15

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Observation d7f0f7d0-9c1d-4fb6-b333-365dbb054045 · outbound

This paper cites Dolbeault.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations Dolbeault

Reference 16

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Observation 0e9e3d21-6187-4791-a6a2-6682fd8f9864 · outbound

This paper cites Ellis and Mark A.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations Ellis and Mark A

Reference 17

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Observation fee24750-c4ab-4a55-b060-2aae7d81d65a · outbound

This paper cites On the convergence of smooth solutions from Boltz- mann to Navier-Stokes.Ann.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations On the convergence of smooth solutions from Boltz- mann to Navier-Stokes.Ann

Reference 18

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Observation 1ac439e8-e1d2-4082-9213-518d91c90008 · outbound

This paper cites On the convergence from Boltzmann to Navier-Stokes-Fourier for general initial data.SIAM J.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations On the convergence from Boltzmann to Navier-Stokes-Fourier for general initial data.SIAM J

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T13:57:07.062337Z

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Observation ab9dc7fa-7290-4dcb-a7cf-d57460684b20 · outbound

This paper cites Hydrodynamic limits for kinetic equations preserving mass, momentum and energy: a spectral and unified approach in the presence of a spectral gap.Ann.

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T13:57:07.239357Z

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Observation b38a1d31-55e2-4952-bcb4-a351719935df · outbound

This paper cites The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels.Invent.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels.Invent

Reference 21

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Observation a602c098-197f-4e1f-ba9a-ee2113b0b228 · outbound

This paper cites The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials.J.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials.J

Reference 22

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Observation 9d61c541-83a9-44cc-964f-bcf59b32dbe6 · outbound

This paper cites The incompressible Navier-Stokes-Fourier limit from Boltzmann-Fermi-Dirac equation.J.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations The incompressible Navier-Stokes-Fourier limit from Boltzmann-Fermi-Dirac equation.J

Reference 23

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Observation 445113c5-3c3c-4916-adce-490324ca0c30 · outbound

This paper cites Boca Raton, FL: CRC Press, 2nd edition edition, 2023.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations Boca Raton, FL: CRC Press, 2nd edition edition, 2023

Reference 24

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Observation 45c9cc2c-1bbc-432c-9797-fa257da53b60 · outbound

This paper cites David Levermore and Nader Masmoudi.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations David Levermore and Nader Masmoudi

Reference 25

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Observation 00bf4708-ca5f-482b-b9f1-452938b1a83b · outbound

This paper cites Stability of global Maxwellian for fully nonlinear Fokker-Planck equations.J.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations Stability of global Maxwellian for fully nonlinear Fokker-Planck equations.J

Reference 26

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Observation 936c4f28-64ba-47f7-bddf-973b664cc891 · outbound

This paper cites Mathiaud and L.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations Mathiaud and L

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T13:57:08.393653Z

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Observation 563f9461-692a-418c-9966-764d4f17c0de · outbound

This paper cites A new model for self-organized dynamics and its flocking behavior.J.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations A new model for self-organized dynamics and its flocking behavior.J

Reference 28

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Observation ae8a777b-d9ce-46b8-ba8c-4f472a1ced1d · outbound

This paper cites Perthame.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations Perthame

Reference 29

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Observation 5905f487-1c72-448d-ad29-07e1990bf4c2 · outbound

This paper cites Incompressible Navier-Stokes-Fourier limit from the Landau equation.

Reference 30

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Observation 161e28da-1b29-46d1-9852-8f8b81f9d4a6 · outbound

This paper cites From the BGK model to the Navier-Stokes equations.Ann.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations From the BGK model to the Navier-Stokes equations.Ann

Reference 31

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Observation 3eb8880c-f685-4b37-97be-80a6fe787d0d · outbound

This paper cites A review of mathematical topics in collisional kinetic theory.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations A review of mathematical topics in collisional kinetic theory

Reference 32

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Observation 29984b93-0465-4d7a-a9c5-1f91338e5a28 · outbound

This paper cites Spectrum analysis of some kinetic equations.Arch.

Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations Spectrum analysis of some kinetic equations.Arch

Reference 33

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Pith citing papers

Observation a10fa4b2-ba84-4dbe-943f-4ae11673f7c2 · inbound

Incompressible Navier-Stokes-Fourier limit from a nonlinear quantum Fokker-Planck equation cites this paper.

Incompressible Navier-Stokes-Fourier limit from a nonlinear quantum Fokker-Planck equation Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations

Reference 10

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