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所属单位：理学院

发表刊物：JOURNAL OF DIFFERENTIAL EQUATIONS

关键字：Compressible Navier-Stokes-Poisson system Decay estimates Critical Besov spaces

摘要：The compressible Navier-Stokes-Poisson system takes the form of usual Navier-Stokes equations coupled with the self-consistent Poisson equation, which is used to simulate the transport of charged particles under the electrostatic potential force. In this paper, we focus on the large-time behavior of global strong solutions in the L-p critical Besov spaces. Inspired by the dissipative effect arising from Poisson potential, we formulate a new regularity assumption of low frequencies and then establish the sharp time-weighted inequality, which leads to the optimal time-decay estimates of strong solutions. Indeed, we see that the decay of density is faster at the half rate than that of velocity, which is a different ingredient in comparison with the situation of compressible Navier-Stokes equations. Our proof mainly depends on tricky and non classical Besov product estimates with respect to various Sobolev embeddings. (C) 2018 Elsevier Inc. All rights reserved.

ISSN号：0022-0396

是否译文：否

发表时间：2019-05-05

合写作者：Shi, Weixuan

通讯作者：徐江