Séminaire ACSIOM :

Le 29 avril 2025 à 13.15 - salle 109 (1er étage)

Présentée par Salguero Elena - Max Planck Institut for Mathematics in the Sciences

Continuation Criteria for the Relativistic Vlasov-Maxwell System

The relativistic Vlasov-Maxwell (rVM) system is a fundamental model in kinetic theory that describes the dynamics of collisionless plasmas with high-velocity particles. The rigorous mathematical study of rVM began in the 1980s, when Glassey and Strauss showed that solutions remain regular as long as the particle momentum remains bounded in time. For the two-dimensional problem, it was shown by Glassey and Schaeffer that the momentum support is indeed bounded for all time and therefore the system is globally well posed. However, the analogous question in three dimensions remains unresolved. Due to this open problem, considerable effort has gone into understanding how particle momentum evolves over time. In this talk, we will review some of the known continuation criteria and present new insights in this direction.