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- Title
THE RELATIVISTIC VLASOV-MAXWELL-BOLTZMANN SYSTEM FOR SHORT RANGE INTERACTION.
- Authors
SHUANGQIAN LIU; QINGHUA XIAO
- Abstract
We are concerned with the Cauchy problem of the relativistic Vlasov-Maxwell-Boltzmann system for short range interaction. For perturbative initial data with suitable regularity and integrability, we prove the large time stability of solutions to the relativistic Vlasov-Maxwell-Boltzmann system, and also obtain as a byproduct the convergence rates of solutions. Our proof is based on a new time-velocity weighted energy method and some optimal temporal decay estimates on the solution itself. The results also extend the case of "hard ball" model considered by Guo and Strain [Comm. Math. Phys. 310: 49-673 (2012)] to the short range interactions.
- Subjects
VLASOV equation; CAUCHY problem; STOCHASTIC convergence; ESTIMATES; NUMERICAL solutions to differential equations
- Publication
Kinetic & Related Models, 2016, Vol 9, Issue 3, p515
- ISSN
1937-5093
- Publication type
Article
- DOI
10.3934/krm.2016005