Existence de solutions régulières globales pour le système de Vlasov-Poisson-Fokker-Planck en dimension trois. (Existence of global regular solutions for the Vlasov-Poisson-Fokker-Planck system in three dimensions). (French. Abridged English version) Zbl 0743.35083
Summary: We study the regularizing effect of the linear Vlasov-Fokker-Planck equation and we deduce the existence of regular solutions for the Vlasov- Poisson-Fokker-Planck system in three dimensions.
MSC:
| 35Q60 | PDEs in connection with optics and electromagnetic theory |
| 76X05 | Ionized gas flow in electromagnetic fields; plasmic flow |
| 35D10 | Regularity of generalized solutions of PDE (MSC2000) |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 35D05 | Existence of generalized solutions of PDE (MSC2000) |
| 35Q35 | PDEs in connection with fluid mechanics |
