Global existence and asymptotic decay of solutions to the non-isentropic Euler-Maxwell system

被引：18

作者：

Feng, Yue-Hong ^{[1
,2
]}

Wang, Shu ^{[1
]}

Kawashima, Shuichi ^{[3
]}

机构：

[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

[2] Univ Blaise Pascal, Math Lab, F-63000 Clermont Ferrand, France

[3] Kyushu Univ, Fac Math, Fukuoka 8128581, Japan

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2014年 / 24卷 / 14期

关键词：

Non-isentropic Euler-Maxwell equations; globally smooth solution; asymptotic behavior; SMOOTH SOLUTIONS; EQUATIONS; BEHAVIOR; LIMIT;

D O I：

10.1142/S0218202514500390

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The non-isentropic compressible Euler-Maxwell system is investigated in R-3 in this paper, and the L-q time decay rate for the global smooth solution is established. It is shown that the density and temperature of electron converge to the equilibrium states at the same rate (1 + t)(-11/4) in L-q norm. This phenomenon on the charge transport shows the essential relation of the equations with the non-isentropic Euler-Maxwell and the isentropic Euler-Maxwell equations.

引用

页码：2851 / 2884

页数：34

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