Existence of boundary layers to the Boltzmann equation with cutoff soft potentials

DOI10.1063/1.2751279zbMath1144.81422OpenAlexW2063617280MaRDI QIDQ3529809

Tong Yang, Weike Wang, Xiongfeng Yang

Publication date: 14 October 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2751279

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (9)

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 ⋮ Nonlinear stability of boundary layers for the Boltzmann equation with cutoff soft potentials ⋮ 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 ⋮ Existence of nonlinear boundary layer solution to the Boltzmann equation with physical boundary conditions ⋮ 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

• On the Cauchy problem of the Boltzmann equation with a soft potential
• Half-space problems for the Boltzmann equation: a survey
• On a boundary layer problem for the nonlinear Boltzmann equation
• 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
• 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
• Some dynamical properties of Ginzburg-Landau vortices

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