Global classical solutions of the “one and one-half” dimensional Vlasov–Maxwell–Fokker–Planck system
Global classical solutions of the “one and one-half” dimensional Vlasov–Maxwell–Fokker–Planck system
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.