The Navier–Stokes limit for the Boltzmann equation

François Golse, Laure Saint‐Raymond

Type: Article

Publication Date: 2001-11-01

Citations: 19

DOI: https://doi.org/10.1016/s0764-4442(01)02136-x

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Locations

Comptes Rendus de l Académie des Sciences - Series I - Mathematics - View

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Works That Cite This (18)

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+	Hydrodynamic Limit of 3dimensional Evolutionary Boltzmann Equation in Convex Domains	2022	Lei Wu Zhimeng Ouyang
+	Contact discontinuity with general perturbations for gas motions	2008	Feimin Huang Zhouping Xin Tong Yang
+	On the Derivation of the Linear Boltzmann Equation from the Nonideal Rayleigh Gas	2024	Florent Thomas Fougères
+	From the Boltzmann equation to the Stokes‐Fourier system in a bounded domain	2003	Nader Masmoudi Laure Saint‐Raymond
+	HIGH-FIELD LIMIT FROM A KINETIC EQUATION TO MULTIDIMENSIONAL SCALAR CONSERVATION LAWS	2007	Florent Berthelin Norbert J. Mauser F. Poupaud
+	Stability of contact discontinuity for the Boltzmann equation	2006	Feimin Huang Tong Yang
+ PDF Chat	From the Boltzmann Equation to an Incompressible Navier–Stokes–Fourier System	2009	C. David Levermore Nader Masmoudi
+	Some Mathematical Contributions to the Understanding of Turbulence	2003	Claude Bardos
+ PDF Chat	The Incompressible NavierStokes for the Nonlinear Discrete Velocity Models	2002	Abdelghani Bellouquid
+	The Navier–Stokes limit of the Boltzmann equation for bounded collision kernels	2003	François Golse Laure Saint‐Raymond

Works Cited by This (10)

Action	Title	Year	Authors
+	Velocity averaging in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi mathvariant="normal">L</mml:mi> <mml:mn>1</mml:mn> </mml:msup></mml:math> for the transport equation	2002	François Golse Laure Saint‐Raymond
+	Conditions at infinity for boltzmann's equation.	1994	Pierre Louis Lions
+	The Boltzmann equation with a soft potential	1980	Russel E. Caflisch
+	Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation	1993	Claude Bardos François Golse C. David Levermore
+	On the Cauchy Problem for Boltzmann Equations: Global Existence and Weak Stability	1989	Ronald J. DiPerna Pierre‐Louis Lions
+	Stokes‐Fourier and acoustic limits for the Boltzmann equation: Convergence proofs	2001	François Golse C. David Levermore
+	Kinetic equations and asymptotic theory	2000	François Bouchut François Golse Mario Pulvirenti
+	Asymptotic Theory of the Boltzmann Equation, II	1963	Harold Grad
+	From the Boltzmann Equations to the Equations of Incompressible Fluid Mechanics, I	2001	Pierre‐Louis Lions Nader Masmoudi
+	Kinetic equations and asymptotic theory	2000	François Bouchut François Golse Mario Pulvirenti