On the Broadwell model of the Boltzmann equation for a simple discrete velocity gas

DOI10.1007/BF02106189zbMath0361.76081OpenAlexW2085620448MaRDI QIDQ1239660

Kiyoshi Inoue, Takaaki Nishida

Publication date: 1976

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02106189

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (15)

The Incompressible NavierStokes for the Nonlinear Discrete Velocity Models ⋮ Large-time behavior of solutions of the discrete Boltzmann equation ⋮ On the decay of solutions of the linearized equations of conservation equations with viscosity and relaxation ⋮ Asymptotics toward rarefaction wave of solutions of the Broadwell model of a discrete velocity gas ⋮ Self-similar fluid-dynamic limits for the Broadwell system ⋮ The discrete model of the Boltzmann equation ⋮ Two aspects of the discrete kinetic theory: Wear shock waves and boundary conditions ⋮ Exact and chapman‐enskog solutions for the carleman model ⋮ Large-time behavior of the Broadwell model of a discrete velocity gas ⋮ Initial value problems for the Carleman equation ⋮ Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation ⋮ Wave structure induced by fluid-dynamic limits in the Broadwell model ⋮ Fluid-dynamic limit for the centered rarefaction wave of the Broadwell equation ⋮ Diffusion of Biological Organisms: Fickian and Fokker--Planck Type Diffusions ⋮ The Broadwell model for initial values in \(L_+^ 1({\mathbb{R}})\)

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• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
• Decay of solutions of systems of nonlinear hyperbolic conservation laws
• Shock Structure in a Simple Discrete Velocity Gas

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