Large-time behavior of solutions for the Boltzmann equation with hard potentials

DOI10.1007/s00220-006-0108-zzbMath1190.82034OpenAlexW2089043355MaRDI QIDQ882989

Shih-Hsien Yu, Tai-Ping Liu, Ming-Yi Lee

Publication date: 31 May 2007

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

Full work available at URL: https://doi.org/10.1007/s00220-006-0108-z

zbMATH Keywords

one-dimensional Boltzmann equation for hard potential models

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items

Space-time behavior of the solution to the Boltzmann equation with soft potentials, Propagation phenomena of the solution for the relativistic BGK model, Spectrum analysis of the linearized relativistic Landau equation, Spectrum analysis of some kinetic equations, Global Solution for the Spatially Inhomogeneous Non-cutoff Kac Equation, Spatial behavior of the solution to the linearized Boltzmann equation with hard potentials, Hypocoercivity for Kolmogorov backward evolution equations and applications, Relativistic Boltzmann Equation: Large Time Behavior and Finite Speed of Propagation, Quantitative pointwise estimate of the solution of the linearized Boltzmann equation, Finite speed of propagation of the relativistic Landau and Boltzmann equations, Explicit structure of the Fokker-Planck equation with potential, Hypocoercivity for linear kinetic equations conserving mass, Microscopic and soliton-like solutions of the Boltzmann-Enskog and generalized Enskog equations for elastic and inelastic hard spheres

Cites Work

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• EXISTENCE OF BOUNDARY LAYER SOLUTIONS TO THE BOLTZMANN EQUATION