On the large time behavior of the electromagnetic fluid system in

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• 作者：Xin Xu ^{xuxinaboy@126.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Navier&ndash ; Stokes equation ; Maxwell equation ; Energy estimate ; Global existence ; Large time behavior
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：33
• 期：Complete
• 页码：83-99
• 全文大小：678 K

文摘

This paper is concerned with the global existence and time-asymptotic behavior of solutions to the three dimensional complete electromagnetic fluid system (or Maxwell–Navier–Stokes equations) for viscous compressible fluids. The global classical solution is established when the initial data are small perturbations of some given constant state. Moreover, the optimal decay estimates of the solution in L^q$L^q$ with 2≤q≤6$2\le q\le 6$ and its higher-order spatial derivatives in L²$L^2$ are also obtained.