The nonlinear diffusion limit for generalized Carleman models: the initial-boundary value problem

DOI10.1088/0951-7715/20/4/007zbMath1178.82063arXivmath/0702705OpenAlexW3100249312MaRDI QIDQ3593305

Francesco Salvarani, François Golse

Publication date: 20 July 2007

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702705

zbMATH Keywords

generalized 2-speed Carleman model of the Boltzmann equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) First-order nonlinear hyperbolic equations (35L60) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boundary value problems for nonlinear first-order PDEs (35F30)

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