Nonlinear stability of boundary layers of the Boltzmann equation for cutoff hard potentials

DOI10.1063/1.2229421zbMath1112.76039OpenAlexW1979236553MaRDI QIDQ3442000

Xiongfeng Yang, Tong Yang, Weike Wang

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2229421

zbMATH Keywords

bootstrap argumentalgebraic temporal decayrecursive weighted energy estimates

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (12)

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 ⋮ Existence of boundary layers to the Boltzmann equation with cutoff soft potentials ⋮ Regularity of Milne problem with geometric correction in 3D ⋮ 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 ⋮ The Classification of Well-Posed Kinetic Boundary Layer for Hard Sphere Gas Mixtures ⋮ 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
• On a boundary layer problem for the nonlinear Boltzmann equation
• Nonlinear boundary layers of the Boltzmann equation. I: Existence
• Nonlinear stability of boundary layers of the Boltzmann equation. I: The case \(\mathcal M^\infty<-1\)
• Sur la théorie de l'équation intégrodifferentielle de Boltzmann
• 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
• Conditions at infinity for boltzmann's equation.
• 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
• Asymptotic Theory of the Boltzmann Equation

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