Stability Of The Relativistic Vlasov-Maxwell-Boltzmann System For Short Range Interaction

Recently, Guo and Strain proved the momentum regularity and stability of the relativistic Vlasov-Maxwell-Boltzmann system with /hard ball0 condition. In this thesis, we further study the Cauchy problem of the relativistic Vlasov-Maxwell-Boltzmann system for short range interaction. For perturbative initial data with suitable regularity and integrability, we introduce the exponential weight estimate into the relativistic Boltzmann operator and use the energy functional method to prove the large time stability of solutions to this system, and also obtain the convergence rates of solutions.