Propagation of Sobolev regularity for a class of random kinetic models on the real line

DOI10.1088/0951-7715/23/9/003zbMath1203.82073OpenAlexW2055190825MaRDI QIDQ4930117

Daniel Matthes, Giuseppe Toscani

Publication date: 28 September 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/23/9/003

zbMATH Keywords

strong convergenceCauchy problemequilibriumBoltzmann equationkinetic theorySobolev regularitycollisional kernel

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (3)

Kinetic models with randomly perturbed binary collisions ⋮ Multi-dimensional smoothing transformations: existence, regularity and stability of fixed points ⋮ Probabilistic view of explosion in an inelastic Kac model

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