PROPAGATION OF MOMENTS AND REGULARITY FOR THE VLASOV-MAXWELL-BOPP-PODOLSKY MODEL

Christophe Cheverry (1) , Slim Ibrahim (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 UVIC - University of Victoria [Canada]

We consider a class of hyperbolic systems which can be interpreted as approximations of the relativistic Vlasov-Maxwell system. These equations are derived by taking into account radiation-reaction effects occurring at a microscopic level. They involve a small length "l", called the Bopp-Podolsky parameter. In this context, we address common issues in kinetic equations such as the propagation of moments, regularity properties and well-posedness. We also investigate semiclassical limits appearing when "l" goes to zero.

Mots clés: Hyperbolic systems of conservation laws; Relativistic Vlasov-Maxwell system; Bopp-Podolsky electrodynamics; Well-posedness of Cauchy problems; Propagation of moments; Asymptotic analysis

Domaines: Mathématiques [math]

Christophe Cheverry, Slim Ibrahim. PROPAGATION OF MOMENTS AND REGULARITY FOR THE VLASOV-MAXWELL-BOPP-PODOLSKY MODEL. 2024. ⟨hal-04570157⟩