Compressible Euler-Maxwell limit of the Vlasov-Maxwell-Boltzmann system
报告摘要：The Vlasov-Maxwell-Boltzmann system and the compressible Euler-Maxwell system are both fundamental models in plasma physics describing the dynamics of plasmas under the self-consistent electromagnetic interactions at the kinetic and fluid levels, respectively. In this talk I present a result justifying the hydrodynamic limit from the VMB system to the EulerMaxwell system as the Knudsen number tends to zero. The explicit rate of convergence over an almost global time interval is also obtained for well-prepared data. For the proof, one of main difficulties occurs to the cubic growth of large velocities due to the action of the classical transport operator on local Maxwellians. We develop new energy estimates dependent of the Knudsen number basing on the macro-micro decomposition to characterize the singular asymptotic limit in the compressible setting. Joint with Dongcheng Yang and Hongjun Yu.