Optimal decay rate for the compressible Navier-Stokes-Poisson system in the critical L-p framework
Optimal decay rate for the compressible Navier-Stokes-Poisson system in the critical L-p framework
复制标题
临界 L-p 框架中可压缩纳维-斯托克斯-泊松系统的最佳衰减率
DOI：
10.1016/j.jde.2017.08.041
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发表时间：
2017
影响因子：
2.4
通讯作者：
Yao Zheng an
中科院分区：
文献类型：
--
作者：
Bie Qunyi;Wang Qiru;Yao Zheng an
本文研究了任意维数N≥3的可压缩Navier-Stokes-Poisson系统初值问题全局解的大时间行为。我们不仅得到了Lebesgue空间的时间衰减率，而且得到了具有负或非负正则指数的Besov范数族的时间衰减率，从而改善了高Sobolev正则性的衰减结果。该证明主要基于Littlewood-Paley理论和傅里叶空间中精细的时间加权不等式。
In this paper, we consider the large time behavior of global solutions to the initial value problem for the compressible Navier–Stokes–Poisson system in the L p critical framework and in any dimension N≥ 3. We obtain the time decay rates, not only for Lebesgue spaces, but also for a family of Besov norms with negative or nonnegative regularity exponents, which improves the decay results in high Sobolev regularity. The proof is mainly based on the Littlewood–Paley theory and refined time weighted inequalities in Fourier space.