The fluid-dynamic limit of the Broadwell model of the nonlinear Boltzmann equation in the presence of shocks

DOI10.1002/cpa.3160440604zbMath0850.76601OpenAlexW2044390313MaRDI QIDQ3974409

Zhouping Xin

Publication date: 25 June 1992

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160440604

Mathematics Subject Classification ID

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

Related Items

Reaction-advection random motions in inhomogeneous media, Traveling waves in a relaxation system, Existence and asymptotic stability of traveling wave solutions of a model system for reacting flow, Relaxation limit for piecewise smooth solutions to systems of conservation laws, Vanishing mean free path limit for interacting shock waves of Broadwell equation, Contact discontinuity with general perturbations for gas motions, Self-similar fluid-dynamic limits for the Broadwell system, Convergence to rarefaction waves for the nonlinear Boltzmann equation and compressible Navier-Stokes equations, Broadwell model and conservative supersonic boundary, Wave structure induced by fluid-dynamic limits in the Broadwell model, Boundary-layer behavior in the fluid-dynamic limit for a nonlinear model Boltzmann equation, A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws, Fluid-dynamic limit for the centered rarefaction wave of the Broadwell equation, Zero relaxation limit for piecewise smooth solutions to a rate-type viscoelastic system in the presence of shocks, The zero relaxation behavior of piecewise smooth solutions to the reacting flow model in the presence of shocks, Kinetic and viscous boundary layers for broadwell equations, Shock profiles and self-similar fluid dynamic limits, Stiff well-posedness and asymptotic convergence for a class of linear relaxation systems in a quarter plane

Cites Work

• Global discontinuous solutions to a class of discontinuous initial value problems for the system of isentropic flow and applications
• Discrete Velocity Models of the Boltzmann Equation: A Survey on the Mathematical ASPECTS of the Theory