Boundary layers and incompressible Navier-Stokes-Fourier limit of the Boltzmann equation in a bounded domain

DOI10.5802/slsedp.95zbMath1360.35181OpenAlexW2595534264MaRDI QIDQ513793

Nader Masmoudi, Ning Jiang

Publication date: 7 March 2017

Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/slsedp.95

zbMATH Keywords

Boltzmann equationChapman-Enskog expansionincompressible Navier-Stokes-Fourier limit

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Hydro- and aero-acoustics (76Q05) Boltzmann equations (35Q20)

Related Items

The Inviscid Limit of Navier--Stokes with Critical Navier-Slip Boundary Conditions for Analytic Data ⋮ Boundary layers and incompressible Navier-Stokes-Fourier limit of the Boltzmann equation in a bounded domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the construction of boundary layers in the incompressible limit with boundary
• Boundary layers and incompressible Navier-Stokes-Fourier limit of the Boltzmann equation in a bounded domain
• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• From the Boltzmann equation to an incompressible Navier-Stokes-Fourier system
• Hydrodynamic limits of the Boltzmann equation
• The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials
• Regularity of the moments of the solution of a transport equation
• On a boundary layer problem for the nonlinear Boltzmann equation
• Incompressible limit for a viscous compressible fluid
• The Boltzmann equation and its applications
• Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions
• The mathematical theory of dilute gases
• Fast singular limits of hyperbolic PDEs
• Nonlinear boundary layers of the Boltzmann equation. I: Existence
• The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
• Convergence of solutions to the Boltzmann equation in the incompressible Euler limit
• The acoustic limit for the Boltzmann equation
• Velocity averaging in \(L^1\) for the transport equation
• Kinetic theory and fluid dynamics
• Kinetic equations with Maxwell boundary conditions
• Asymptotic Analysis of Fluid Equations
• The milne and kramers problems for the boltzmann equation of a hard sphere gas
• A classification of well-posed kinetic layer problems
• Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
• From the Boltzmann equation to the Stokes-Fourier system in a bounded domain
• On The Trace Problem For Solutions Of The Vlasov Equation
• Une approche locale de la limite incompressible
• Stationary solutions of the linearized Boltzmann equation in a half‐space
• Stokes-Fourier and acoustic limits for the Boltzmann equation: Convergence proofs
• Remarks on the Acoustic Limit for the Boltzmann Equation
• A new result on the Pompeiu problem
• On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system
• From the Boltzmann equations to the equations of incompressible fluid mechanics. I, II

This page was built for publication: Boundary layers and incompressible Navier-Stokes-Fourier limit of the Boltzmann equation in a bounded domain