18 citations · 42 across the 7 of their papers we have counts for
3 papers · 1 filter
Classical solvability of the relativistic Vlasov-Maxwell system with bounded spatial density
Reinel Sospedra-Alfonso, Reinhard Illner
In (Arch. Rational. Mech. Anal 1986, 92:59-90), Glassey and Strauss showed that if the growth in the momentum of the particles is controlled, then the relativistic Vlasov-Maxwell s…
Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system
Reinel Sospedra-Alfonso, Martial Agueh
We use optimal transportation techniques to show uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system. Our proof extends the method used by…
Global Classical Solutions of the Relativistic Vlasov-Darwin System with Small Cauchy Data: the Generalized Variables Approach
Reinel Sospedra-Alfonso, Martial Agueh, Reinhard Illner
We show that a smooth, small enough Cauchy datum launches a unique classical solution of the relativistic Vlasov-Darwin (RVD) system globally in time. A similar result is claimed i…