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Global classical solutions for the "One and one-half'' dimensional relativistic Vlasov-Maxwell-Fokker-Planck system
| Content Provider | Semantic Scholar |
|---|---|
| Author | Pankavich, Stephen Michalowski, Nicholas |
| Copyright Year | 2014 |
| Abstract | In a recent paper Calogero and Alcantara [Kinet. Relat. Models, 4 (2011), pp. 401-426] derived a Lorentz-invariant Fokker-Planck equation, which corresponds to the evolution of a particle distribution associated with relativistic Brownian Motion. We study the ``one and one-half'' dimensional version of this problem with nonlinear electromagnetic interactions - the relativistic Vlasov-Maxwell-Fokker-Planck system - and obtain the first results concerning well-posedness of solutions. Specifically, we prove the global-in-time existence and uniqueness of classical solutions to the Cauchy problem and a gain in regularity of the distribution function in its momentum argument. |
| Starting Page | 169 |
| Ending Page | 199 |
| Page Count | 31 |
| File Format | PDF HTM / HTML |
| DOI | 10.3934/krm.2015.8.169 |
| Volume Number | 8 |
| Alternate Webpage(s) | https://inside.mines.edu/~pankavic/CSMpage/Publications_files/1.5DRVMFP_KRM_FINAL.pdf |
| Alternate Webpage(s) | https://doi.org/10.3934/krm.2015.8.169 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
