arXiv Analytics

Sign in

arXiv:math/0611268 [math.AP]AbstractReferencesReviewsResources

Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules

L. Desvillettes, G. Furioli, E. Terraneo

Published 2006-11-09Version 1

We prove that Gevrey regularity is propagated by the Boltzmann equation with Maxwellian molecules, with or without angular cut-off. The proof relies on the Wild expansion of the solution to the equation and on the characterization of Gevrey regularity by the Fourier transform.

Comments: 18 pages
Categories: math.AP
Subjects: 76P05
Related articles: Most relevant | Search more
arXiv:0901.2290 [math.AP] (Published 2009-01-15)
Acoustic Limit for the Boltzmann equation in Optimal Scaling
arXiv:0712.3458 [math.AP] (Published 2007-12-20)
A new regularization possibility for the Boltzmann equation with soft potentials
arXiv:1007.1997 [math.AP] (Published 2010-07-12)
Formation and Propagation of Discontinuity for Boltzmann Equation in Non-Convex Domains

Links

Toolbox