The relativistic Vlasov-Maxwell-Boltzmann system for short range interaction
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 515-550 |
| Journal / Publication | Kinetic and Related Models |
| Volume | 9 |
| Issue number | 3 |
| Online published | May 2016 |
| Publication status | Published - Sep 2016 |
| Externally published | Yes |
Link(s)
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.
Research Area(s)
- Coercivity, Large time stability, Optimal temporal decay, Relativistic Vlasov-Maxwell-Boltzmann system, Time-velocity weighted energy method
Citation Format(s)
The relativistic Vlasov-Maxwell-Boltzmann system for short range interaction. / LIU, Shuangqian; XIAO, Qinghua.
In: Kinetic and Related Models, Vol. 9, No. 3, 09.2016, p. 515-550.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
