可压缩Euler-Maxwell方程\稳态解的渐近稳定性

In this paper, we are concerned with the compressible Euler-Maxwellequations with a nonconstant background density (e.g. of ions) inthree dimensional space. There exist stationary solutions when thebackground density is a small perturbation of a positive constantstate. We first show the asymptotic stability of solutions to theCauchy problem near the stationary state provided that the initialperturbation is sufficiently small. Moreover the convergence ratesare obtained by combining the Lp-Lq estimates for thelinearized equations with time-weighted estimate.