Nonlinear stability of boundary layers for the Boltzmann equation with cutoff soft potentials

DOI10.1016/j.jmaa.2008.05.006zbMath1178.35062OpenAlexW2052397753MaRDI QIDQ932370

Xiongfeng Yang

Publication date: 10 July 2008

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.2008.05.006

zbMATH Keywords

nonlinear stabilityboundary layer solutionscollision frequencycutoff soft potentials

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Boltzmann equations (35Q20)

Related Items (7)

The nonlinear boundary layer to the Boltzmann equation with mixed boundary conditions for hard potentials ⋮ Asymptotic behavior on the Milne problem with a force term ⋮ The nonlinear boundary layer to the Boltzmann equation for cutoff soft potential with physical boundary condition ⋮ The solutions for the boundary layer problem of Boltzmann equation in a half-space ⋮ Nonlinear stability of boundary layer solution to the Boltzmann equation with diffusive effect at the boundary ⋮ Boundary layers of the Boltzmann equation in three-dimensional half-space ⋮ Existence of nonlinear boundary layer to the Boltzmann equation with reverse reflection boundary condition

Cites Work

• Half-space problems for the Boltzmann equation: a survey
• On a boundary layer problem for the nonlinear Boltzmann equation
• The Boltzmann equation with a soft potential. II: Nonlinear, spatially- periodic
• Nonlinear boundary layers of the Boltzmann equation. I: Existence
• Classical solutions to the Boltzmann equation for molecules with an angular cutoff
• Nonlinear stability of boundary layers of the Boltzmann equation. I: The case \(\mathcal M^\infty<-1\)
• 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
• 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
• 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

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