非等熵Euler-Maxwell方程组大稳态解的稳定性

Stability of Large Steady-State Solutions to Non-Isentropic Euler-Maxwell Systems

研究无温度衰减的非等熵Euler-Maxwell方程组在非常数大稳态解附近周期光滑解的稳定性.通过引入新的变量及一个非对角的对称化子,并借助反对称矩阵的性质和归纳法,给出了稳定性结果的简洁证明.

Stability of periodic smootli solutions near non-constant steady-states for a non-isentropic Euler-Maxwell system without temperature damping term are studied. New variables are introduced and choose a non-diagonal symmetrizer of the full Euler equations to recover dissipation estimates. The proof is based on an induction argument on the order of the derivatives of solutions in energy and time dissipation estimates. This allows to make the proof simple and concise.