GLOBAL WELL-POSEDNESS AND OPTIMAL DECAY RATE OF THE QUASI-STATIC INCOMPRESSIBLE NAVIER-STOKES-FOURIER-MAXWELL-POISSON SYSTEM

摘要

This work aims to establish global classical solution and optimal Lp (p >= 2) time decay rate of the quasi-static incompressible Navier-Stokes- Fourier-Maxwell-Poisson system with small initial data in R3. The optimal L2 time decay rate for higher order spatial derivatives is also given. To deal with the difficulty induced by the degeneration of the coupled Maxwell equation, we adopt the vector-valued form of the electric field E to obtain the time decay rate.

关键词