Global regularity estimates for the Boltzmann equation without cut-off - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of the American Mathematical Society Année : 2022

Global regularity estimates for the Boltzmann equation without cut-off

Résumé

We derive $C^\infty$ a priori estimates for solutions of the inhomogeneous Boltzmann equation without cut-off, conditional to point-wise bounds on their mass, energy and entropy densities. We also establish decay estimates for large velocities, for all derivatives of the solution.

Dates et versions

hal-02304382 , version 1 (03-10-2019)

Identifiants

Citer

Cyril Imbert, Luis Silvestre. Global regularity estimates for the Boltzmann equation without cut-off. Journal of the American Mathematical Society, 2022, 35 (3), pp.625-703. ⟨10.1090/jams/986⟩. ⟨hal-02304382⟩
70 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More