 |
 |
|
|
| HAL : hal-00510633, version 2 |
| arXiv : 1008.3442 |
| DOI : 10.1007/s00205-011-04320-0. |
| Fiche détaillée |  Récupérer au format |
 |
| Arch. Rational Mech. Anal. (2011) 63 |
|
|
| Versions disponibles : | v1 (20-08-2010) | v2 (30-10-2010) |
|
|
|
|
| The Boltzmann equation without angular cutoff in the whole space : Qualitative properties of solutions |
|
|
| Radjesvarane Alexandre 1Yoshinori Morimoto 2 |
|
|
| (2011) |
|
|
|
| This is a continuation of our series of works for the inhomogeneous Boltzmann equation. We study qualitative properties of classical solutions, precisely, the full regularization in all variables, uniqueness, non-negativity and convergence rate to the equilibrium. Together with the results of Parts I and II about the well posedness of the Cauchy problem around Maxwellian, we conclude this series with a satisfactory mathematical theory for Boltzmann equation without angular cutoff. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | Institut de Recherche de l'Ecole Navale (EA 3634) (IRENAV) |
|
|
|
Ecole Navale – Arts et Métiers ParisTech |
|
|
| 2 : | Graduate School of Human and Environmental Studies |
|
|
|
Kyoto University |
|
|
| 3 : | retaite (Mr.) |
|
|
|
retraité |
|
|
| 4 : | Laboratoire de Mathématiques Raphaël Salem (LMRS) |
|
|
|
CNRS : UMR6085 – Université de Rouen |
|
|
| 5 : | department of mathematics |
|
|
|
City University Of Hong-Kong |
|
|
|
|
|
|
|
|
|
| Domaine | : | Mathématiques/Equations aux dérivées partielles |
|
|
| Boltzmann equation – non-cutoff cross sections – hypoellipticity – uniqueness – non-negativity – convergence rate. |
|
|
|
| Liste des fichiers attachés à ce document : | ||||||||||
|
||||||||||
|
|
|
| hal-00510633, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00510633 | |
| oai:hal.archives-ouvertes.fr:hal-00510633 | |
| Contributeur : Chao-Jiang Xu | |
| Soumis le : Samedi 30 Octobre 2010, 09:06:07 | |
| Dernière modification le : Jeudi 23 Juin 2011, 21:16:12 | |
