Riv.Mat.Univ.Parma (7) 6 (2007)

L. Arkeryd and A. Nouri

Asymptotic techiques for kinetic problems of Boltzmann type

Pages 1-74
Received: 20 November 2006
Mathematics Subject Classification (2000): 76P05 - 35Q35

Abstract The problems discussed in this work concern asymptotic techniques and detailed quantitative properties close to global equilibrium in classical kinetic theory. The discussion is mainly centered on a particular two-rolls model problem for the Boltzmann equation and hard forces, with the understanding that such a program can be applied in many other contexts for single and multi-component gases. The topics include asymptotic expansions, a priori estimates, existence and positivity results, fluid dynamic limits, bifurcations and stability questions.

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