A DIFFUSIVE LIMIT FOR NONLINEAR DISCRETE VELOCITY MODELS

DOI10.1142/S0218202503002374zbMath1053.82027OpenAlexW2020165833MaRDI QIDQ3043523

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Publication date: 6 August 2004

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202503002374

zbMATH Keywords

diffusive limitincompressible Stokes equationsBroadwell modelCarleman modelDiscrete Boltzmann equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

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Cites Work

• Unnamed Item
• The Euler limit and initial layer of the nonlinear Boltzmann equation
• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• Large-time behavior of solutions of the discrete Boltzmann equation
• Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation
• The discrete Boltzmann equation with multiple collisions: Global existence and stability for the initial value problem
• The fluid dynamic limit of the nonlinear boltzmann equation
• The fluid-dynamical limit of a nonlinear model boltzmann equation
• THE DISCRETE BOLTZMANN EQUATION: A REVIEW OF THE MATHEMATICAL ASPECTS OF THE INITIAL AND INITIAL-BOUNDARY VALUE PROBLEMS
• Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
• Limite hydrodynamique de quelques modèles de la théorie cinétique discrète
• HIGH-FIELD LIMIT OF THE VLASOV–POISSON–FOKKER–PLANCK SYSTEM: A COMPARISON OF DIFFERENT PERTURBATION METHODS
• GENERALIZED DISCRETE VELOCITY MODELS
• A KINETIC MULTISCALE MODEL
• Shock Structure in a Simple Discrete Velocity Gas
• From the Boltzmann equations to the equations of incompressible fluid mechanics. I, II

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