Smoothing effects for classical solutions of the relativistic Landau-Maxwell system |
| |
Authors: | Hongjun Yu |
| |
Institution: | a School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China b SISSA, Via Beirut 4, Trieste 34014, Italy |
| |
Abstract: | The relativistic Landau-Maxwell system is one of the most fundamental and complete models for describing the dynamics of a dilute hot plasma in which particles interact through Coulomb collisions and their self-consistent electromagnetic field. In this work, we prove that the classical solutions obtained by Strain and Guo become immediately smooth with respect to all variable under the extra assumption of the electromagnetic field. As a by-product, we also prove that the classical solutions to the relativistic Landau-Poisson system and the relativistic Landau equation have the same property without any extra assumption. |
| |
Keywords: | primary 35Q99 secondary 35A05 |
本文献已被 ScienceDirect 等数据库收录! |
|