Decay rates of the magnetohydrodynamic model for quantum plasmas

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• 作者：Xueke Pu ; Xiuli Xu
• 关键词：Quantum magnetohydrodynamics model ; Optimal decay rates ; Global existence ; Quantum plasmas ; Nonlinear energy estimates
• 刊名：Zeitschrift für angewandte Mathematik und Physik
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：68
• 期：1
• 全文大小：
• 刊物主题：Theoretical and Applied Mechanics; Mathematical Methods in Physics;
• 出版者：Springer International Publishing
• ISSN：1420-9039
• 卷排序：68

文摘

In this paper, we consider the quantum magnetohydrodynamic model for quantum plasmas. We prove the optimal decay rates for the solution to the constant state in the whole space in the \(L^{p}\)-norm with \(2\le p\le 6\) and its first derivatives in \(L^{2}\)-norm. The proof is based on the optimal decay of the linearized equation and nonlinear energy estimates.