On the Cauchy problem for the inelastic Boltzmann equation with external force

DOI10.1007/s10955-011-0410-9zbMath1235.82063OpenAlexW1975734958MaRDI QIDQ664478

Jinbo Wei, Xian-Wen Zhang

Publication date: 2 March 2012

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-011-0410-9

zbMATH Keywords

Cauchy probleminelastic Boltzmann equationexternal forceuniform \(L ^{1}\) stability

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (8)

On the inelastic Boltzmann equation for soft potentials with diffusion ⋮ Global classical solution to the inelastic Boltzmann equation with potential force ⋮ Global solution to the inelastic Boltzmann equation with hard potentials ⋮ On the measure valued solution to the inelastic Boltzmann equation with soft potentials ⋮ Global existence of classical solutions to the inelastic Vlasov-Poisson-Boltzmann system ⋮ The existence and convergence of the Maxwell model for granular materials ⋮ Uniform \(L^1\) stability of the inelastic Boltzmann equation with large external force for hard potentials ⋮ The inelastic Enskog equation with external force

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