Decay estimates of solutions to the bipolar non-isentropic compressible Euler-Maxwell system

被引：5
|
作者：
Tan, Zhong [1 ,2 ]
Wang, Yong [3 ]
Tong, Leilei [1 ,2 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
[2] Xiamen Univ, Fujian Prov Key Lab Math Modeling & Sci Comp, Xiamen 361005, Fujian, Peoples R China
[3] Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Guangdong, Peoples R China
来源：
NONLINEARITY | 2017年 / 30卷 / 10期
基金：
中国国家自然科学基金;
关键词：
bipolar non-isentropic Euler-Maxwell system; global smooth solution; decay estimates; energy method; GLOBALLY SMOOTH SOLUTIONS; ASYMPTOTIC-BEHAVIOR; CAUCHY-PROBLEM; TIME BEHAVIOR; BESOV-SPACES; EQUATIONS; EXISTENCE; CONVERGENCE; STABILITY;
D O I：
10.1088/1361-6544/aa7eff
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the global existence and large time behavior of solutions near a constant equilibrium state to the bipolar non-isentropic compressible Euler-Maxwell system in R-3, where the background magnetic field could be non-zero. The global existence is established under the assumption that the H-3 norm of the initial data is small, but its higher order derivatives could be large. Combining the negative Sobolev (or Besov) estimates with the interpolation estimates, we prove the optimal time decay rates of the solution and its higher order spatial derivatives. In this sense, our results improve the similar ones in Wang et al
引用
收藏
页码：3743 / 3772
页数：30
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