等离子体双极可压Euler-Maxwell方程组解的整体存在性

Global Existence and Decay of Solutions for the Bipolar Euler-Maxwell System in the Torus

为了解决等离子体双极可压Euler-Maxwell方程组周期问题光滑解的整体存在性问题,采用能量方法和能量函数的凸性方法,在初值是一个常数平衡解的小摄动前提下,证明了双极可压Euler-Maxwell方程组周期问题在其常数平衡解附近具有渐近稳定光滑整体解.

The bipolar compressible Euler-Maxwell equations as a hydrodynamic model arising from plasma physics to describe the dynamics of the compressible electrons and ions was investigated. This work was concerned with three-dimensional Euler-Maxwell equations with smooth periodic solutions. With the help of energy method and the energy functional convex method, the global smooth solution with small amplitude was established near a constant equilibrium solution with asymptotic stability property.