Steady solutions of the Boltzmann equation for a gas flow past an obstacle. II. Stability

DOI10.2977/prims/1195177061zbMath0627.76089OpenAlexW1966013249MaRDI QIDQ1092755

Seiji Ukai, Kiyoshi Asano

Publication date: 1986

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195177061

zbMATH Keywords

stabilityboundary conditionsnonlinear Boltzmann equationMaxwellian distributioninitial datadiffuse reflectionsteady solutionflow past an obstacle

Mathematics Subject Classification ID

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

Related Items

Stability estimates of the Boltzmann equation in a half space, Stationary non equilibrium states in kinetic theory, Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations, Exterior problem for the Boltzmann equation with temperature difference: asymptotic stability of steady solutions, Hydrodynamic limit of a kinetic gas flow past an obstacle, Initial-boundary value problems for the Boltzmann equation: Global existence of weak solutions, GLOBAL SOLUTIONS TO THE BOLTZMANN EQUATION WITH EXTERNAL FORCES, Stationary Boltzmann's Equation With a Source Term, The Boltzmann equation: Flow of cloud of gas past a body, Exterior Problem of the Linear Vlasov--Poisson--Boltzmann System

Cites Work

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• On the Cauchy problem of the Boltzmann equation with a soft potential
• Steady solutions of the Boltzmann equation for a gas flow past an obstacle. I: Existence
• The Boltzmann equation with a soft potential. I: Linear, spatially- homogeneous
• On the initial boundary value problem of the linearized Boltzmann equation in an exterior domain
• Global solutions to the initial value problem for the nonlinear Boltzmann equation