Stability, convergence to self-similarity and elastic limit for the Boltzmann equation for inelastic hard spheres

DOI10.1007/s00220-009-0773-9zbMath1178.82056arXivmath/0701449OpenAlexW1973750289MaRDI QIDQ842476

Stéphane Mischler, Clément Mouhot

Publication date: 25 September 2009

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701449

zbMATH Keywords

convergenceresolventself-similar solutionsuniquenessspectral stabilitya posteriori estimatesattractivityself-similar profilesbinary collisionsgranular gashomogeneous Boltzmann equationelastic limitErnst-Brito conjectureinelastic hard spheres gassemigroup operator

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) 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) Initial value problems for nonlinear first-order PDEs (35F25) Granular flows (76T25)

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