The grazing collisions asymptotics of the non cut-off Kac equation

DOI10.1051/m2an/1998320607631zbMath0912.76081OpenAlexW2461261430MaRDI QIDQ4222294

Giuseppe Toscani

Publication date: 30 May 1999

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193897

zbMATH Keywords

uniform convergenceone-dimensional Fokker-Planck equationcross-sectionsufficiently regular initial data

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (7)

Mathematical modelling of collagen fibres rearrangement during the tendon healing process ⋮ Continuum and thermodynamic limits for a simple random-exchange model ⋮ Global Solution for the Spatially Inhomogeneous Non-cutoff Kac Equation ⋮ One-dimensional kinetic models of granular flows ⋮ A Rosenau-type approach to the approximation of the linear Fokker-Planck equation ⋮ Asymptotic of grazing collisions and particle approximation for the Kac equation without Cutoff ⋮ Propagation of chaos: a review of models, methods and applications. II: Applications

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