Vlasov-Maxwell-Boltzmann diffusive limit
偏微分方程分析
2007-05-23 v1 数学物理
math.MP
摘要
We study the diffusive expansion for solutions around Maxwellian equilibrium and in a periodic box to the Vlasov-Maxwell-Boltzmann system, the most fundamental model for an ensemble of charged particles. Such an expansion yields a set of dissipative new macroscopic PDE's, the incompressible Vlasov-Navier-Stokes-Fourier system and its higher order corrections for describing a charged fluid, where the self-consistent electromagnetic field is present. The uniform estimate on the remainders is established via a unified nonlinear energy method and it guarantees the global in time validity of such an expansion up to any order.
引用
@article{arxiv.math/0601740,
title = {Vlasov-Maxwell-Boltzmann diffusive limit},
author = {Juhi Jang},
journal= {arXiv preprint arXiv:math/0601740},
year = {2007}
}
备注
46 pages