Analytical regularizing effect for  the radial and spatially homogeneous Boltzmann equation

Léo Glangetas; Mohamed Najeme

doi:10.3934/krm.2013.6.407

Article Contents

2013, Volume 6, Issue 2: 407-427. Doi: 10.3934/krm.2013.6.407

This issue Previous Article Structure of entropies in dissipative multicomponent fluids Next Article Collisionless kinetic theory of rolling molecules

Analytical regularizing effect for the radial and spatially homogeneous Boltzmann equation

Léo Glangetas^1, and
Mohamed Najeme^1,

1.
Université de Rouen, UMR 6085-CNRS, Mathématiques, Avenue de l'Université, BP.12, 76801 Saint Etienne du Rouvray

Received: May 31, 2012

Revised: August 31, 2012

Published: May 2013

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Abstract

In this paper, we consider a class of spatially homogeneous Boltzmann equation without angular cutoff. We prove that any radial symmetric weak solution of the Cauchy problem become analytic for positive time.

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Mathematics Subject Classification: 35A20, 35B65, 35H20, 76P05, 82C40.

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References

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