The nonlinear boundary layer to the Boltzmann equation with mixed boundary conditions for hard potentials

DOI10.1016/j.jmaa.2010.09.067zbMath1206.35190OpenAlexW1964362730MaRDI QIDQ615939

Jie Sun, Qianzhu Tian

Publication date: 7 January 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.09.067

zbMATH Keywords

Boltzmann equationboundary layermixed boundary conditionhard potential

Mathematics Subject Classification ID

Diffusion (76R50) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Boltzmann equations (35Q20)

Related Items (2)

Half-space kinetic equations with general boundary conditions ⋮ Boundary layers of the Boltzmann equation in three-dimensional half-space

Cites Work

• On the Cauchy problem of the Boltzmann equation with a soft potential
• Nonlinear stability of boundary layers for the Boltzmann equation with cutoff soft potentials
• Existence of nonlinear boundary layer solution to the Boltzmann equation with physical boundary conditions
• On a boundary layer problem for the nonlinear Boltzmann equation
• The mathematical theory of dilute gases
• Nonlinear boundary layers of the Boltzmann equation. I: Existence
• Nonlinear stability of boundary layers of the Boltzmann equation. I: The case \(\mathcal M^\infty<-1\)
• Kinetic theory and fluid dynamics
• Nonlinear stability of boundary layers of the Boltzmann equation for cutoff hard potentials
• Existence of boundary layers to the Boltzmann equation with cutoff soft potentials
• Nonlinear stability of boundary layer solution to the Boltzmann equation with diffusive effect at the boundary
• The milne and kramers problems for the boltzmann equation of a hard sphere gas
• A classification of well-posed kinetic layer problems
• Numerical analysis of steady flows of a gas condensing on or evaporating from its plane condensed phase on the basis of kinetic theory: Effect of gas motion along the condensed phase
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• EXISTENCE OF BOUNDARY LAYER SOLUTIONS TO THE BOLTZMANN EQUATION
• Stationary solutions of the linearized Boltzmann equation in a half‐space
• Asymptotic Theory of the Boltzmann Equation
• Numerical analysis of gas flows condensing on its plane condensed phase on the basis of kinetic theory

This page was built for publication: The nonlinear boundary layer to the Boltzmann equation with mixed boundary conditions for hard potentials