?^3上非等熵Euler-Maxwell系统稳态解的全局稳定性  

Global Stability of Large Steady-States to a Non-Isentropic Euler-Maxwell System in ?^3

作　　者：周爽 杨永富[1] Zhou Shuang;Yang Yongfu(College of Science,Hohai University,Nanjing 211100,China)

机构地区：[1]河海大学理学院,江苏南京211100

出　　处：《南京师大学报（自然科学版）》2020年第1期23-30,共8页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：Supported by NSFC of China(11571092).

摘　　要：本文考虑的是无温度扩散项的非等熵Euler-Maxwell系统在?^3上的稳定性问题.当初值接近系统的稳态时,我们给出光滑解的整体存在性,且当时间趋于无穷大时该光滑解收敛于稳态.其基本思想是改变未知变量并选取完全Euler方程的非对角对称化子来得到耗散估计.此外,对解的导数的阶的归纳论证在得到稳定性结果中也起着关键作用.This paper is concerned with a stability problem in ?^3 for a non-isentropic Euler-Maxwell system without temperature diffusion term.When the initial data are close to the steady states of the system,we show the global existence of smooth solutions which converge toward the steady states as the time tends to infinity.The basic idea is to make a change of unknown variables and choose a non-diagonal symmetrizer of the full Euler equations to get the dissipation estimates.In addition,an induction argument on the order of derivatives of solutions in energy estimates plays a key role in obtaining the stability result.

关 键 词：Euler-Maxwell系统 整体光滑解 稳定性 稳态解 能量估计 

分 类 号：O175[理学—数学]