课程介绍： The fluid models of plasmas are mainly represented by Euler-Maxwell systems, Euler-Poisson systems and drift-diffusion systems. There are small physical parameters in this systems. In the limit cases at zero of physical parameters, a lot of well-known models can be derived, such as compressible and incompressible Euler equations and the e-MHD equations etc. In this series of lectures, I present two problems on the asymptotic analysis and the stability of one-fluid Euler-Maxwell and Euler-Poisson systems. Outline of the lectures： ----Presentation of one fluid Euler-Maxwell systems ----Formal derivation of Euler-Poisson and drift-diffusion systems ----Local-in-time convergence and error estimates ----Uniform global existence and global convergence ----Stability of steady-state solutions |
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