Communications in Mathematical Sciences
Volume 14 (2016)
Global classical solutions of the “one and one-half” dimensional Vlasov–Maxwell–Fokker–Planck system
Pages: 209 – 232
We study the “one and one-half” dimensional 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 in the large of classical solutions to the Cauchy problem and a gain in regularity of the distribution function in its momentum argument.
kinetic theory, Vlasov, Fokker–Planck equation, global existence
2010 Mathematics Subject Classification
35L60, 35Q83, 82C22, 82D10