Large-time behavior of solutions of the discrete Boltzmann equation

DOI10.1007/BF01208958zbMath0627.35007OpenAlexW2000120276MaRDI QIDQ1092313

Shuichi Kawashima

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01208958

zbMATH Keywords

self-similar solutionsBurgers equationsuperpositiondiscrete Boltzmann equationunique solutionlarge-time behaviorequilibrium statenonlinear and linear diffusion waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) First-order nonlinear hyperbolic equations (35L60)

Related Items

The Incompressible NavierStokes for the Nonlinear Discrete Velocity Models, From discrete velocity Boltzmann equations to gas dynamics before shocks, The discrete Boltzmann equation with multiple collisions: Global existence and stability for the initial value problem, From microscopic to macroscopic models: Asymptotic analysis of the Broadwell model toward the wave equation, Existence and stability of stationary solutions to the discrete Boltzmann equation, Asymptotics toward rarefaction wave of solutions of the Broadwell model of a discrete velocity gas, A DIFFUSIVE LIMIT FOR NONLINEAR DISCRETE VELOCITY MODELS, Weakly nonlinear-dissipative approximations of hyperbolic-parabolic systems with entropy, Decay estimates for hyperbolic balance laws, Fluid-dynamic limit for the centered rarefaction wave of the Broadwell equation, Dissipative structure and asymptotic profiles for symmetric hyperbolic systems with memory

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