Global solutions to the initial-boundary value problems for the discrete Boltzmann equation

DOI10.1016/0362-546X(91)90065-9zbMath0763.35075OpenAlexW1966210084MaRDI QIDQ4008855

Shuichi Kawashima

Publication date: 27 September 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(91)90065-9

zbMATH Keywords

stochastic boundary conditionsglobal existence and uniqueness resultsdisrecte velocity modelsincoming densities

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Discrete version of topics in analysis (39A12) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items

Existence and stability of stationary solutions to the discrete Boltzmann equation, Initial-boundary-value problem for the Broadwell model of a gas mixture with bimolecular reaction, Asymptotic behavior of one-dimensional discrete-velocity models in a slab, A semilinear cauchy problem with a time dependent source on the boundary, A global existence theorem for the initial-boundary-value problem for the Boltzmann equation when the boundaries are not isothermal

Cites Work

• Large-time behavior of discrete velocity Boltzmann equations
• A boundary value problem for discrete-velocity models
• On nonlinear stationary half-space problems in discrete kinetic theory.
• On the Broadwell's model for a simple discrete velocity gas
• Kinetic theory boundary conditions for discrete velocity gases
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