Long‐time behavior of solution for the compressible Navier‐Stokes‐Maxwell equations in R3
Long‐time behavior of solution for the compressible Navier‐Stokes‐Maxwell equations in R3
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DOI：
10.1002/mma.4672
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发表时间：
2018-03
影响因子：
2.9
通讯作者：
Yongsheng Mi;Jincheng Gao
中科院分区：
文献类型：
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作者：
Yongsheng Mi;Jincheng Gao
本文研究了三维全空间中可压缩Navier-Stokes-麦克斯韦方程组经典解的高阶空间导数的最优衰减率.如果初始扰动在H3-L1-范数下很小，我们应用傅里叶分裂方法来建立解的二阶空间导数的最佳衰减率。作为副产品，经典解在L∞范数下收敛到常数平衡态的速度是（1+t）−32。
In this paper, we are concerned with optimal decay rates for higher‐order spatial derivatives of classical solution to the compressible Navier‐Stokes‐Maxwell equations in three‐dimensional whole space. If the initial perturbation is small in H3∩L1 ‐norm, we apply the Fourier splitting method to establish optimal decay rates for the second‐order spatial derivatives of a solution. As a by‐product, the rate of classical solution converging to the constant equilibrium state in L∞ ‐norm is (1+t)−32 .