首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >Stability of non-constant steady-state solutions for bipolar non-isentropic Euler-Maxwell equations with damping terms
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Stability of non-constant steady-state solutions for bipolar non-isentropic Euler-Maxwell equations with damping terms

机译:具有阻尼项的双极性非等熵Euler-Maxwell方程的非恒定稳态解的稳定性

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摘要

In this article, we consider the periodic problem for bipolar non-isentropic Euler-Maxwell equations with damping terms in plasmas. By means of an induction argument on the order of the time-space derivatives of solutions in energy estimates, the global smooth solution with small amplitude was established close to a non-constant steady-state solution with asymptotic stability property. Furthermore, we obtain the global stability of solutions with exponential decay in time near the non-constant steady-states for bipolar non-isentropic Euler-Poisson equations. This phenomenon on the charge transport shows the essential relation and difference between the bipolar non-isentropic and the bipolar isentropic Euler-Maxwell/Poisson equations.
机译:在本文中,我们考虑了带有阻尼项的双极非等熵Euler-Maxwell方程的周期问题。借助能量估计中解的时空导数阶的归纳论证,建立了具有小振幅的全局光滑解,使其接近具有渐近稳定性的非恒定稳态解。此外,对于双极非等熵Euler-Poisson方程,我们获得了在非恒定稳态附近具有时间指数衰减的解决方案的全局稳定性。电荷传输中的这种现象表明了双极非等熵和双极等熵Euler-Maxwell / Poisson方程之间的本质关系和差异。

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