18 citations · 30 across the 3 of their papers we have counts for
3 papers
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…
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…
On Blowup for Gain-Term-Only classical and relativistic Boltzmann equations
Hakan Andreasson, Simone Calogero, Reinhard Illner
We show that deletion of the loss part of the collision term in all physically relevant versions of the Boltzmann equation, including the relativistic case, will in general lead to…