Global existence and decay of solution for the nonisentropic Euler–Maxwell system with a nonconstant background density

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• 作者：Weike Wang ; Xin Xu
• 刊名：Zeitschrift f¨¹r angewandte Mathematik und Physik
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：67
• 期：3
• 全文大小：607 KB
• 刊物主题：Theoretical and Applied Mechanics; Mathematical Methods in Physics;
• 出版者：Springer Basel
• ISSN：1420-9039
• 卷排序：67

文摘

In this paper, the Cauchy problem for the nonisentropic Euler–Maxwell system with a nonconstant background density is studied. The global existence of classical solution is constructed in three space dimensions provided the initial perturbation is sufficiently small. The proof is mainly based on classical energy estimate and the techniques of symmetrizer. And the time decay of the solution is also established by combining the decay estimate of the Green’s function with some time-weighted estimate.KeywordsNonisentropic Euler–Maxwell systemEnergy estimateGlobal existenceGreen’s functionLarge time behavior