Optimal decay rate for the compressible Navier-Stokes-Poisson system in the critical Lp framework

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:263

Article

Bie, Qunyi¹  Wang, Qiru²  Yao, Zheng-an² 

[1] China Three Gorges Univ, Coll Sci, Yichang 443002, Peoples R China

[2] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Guangdong, Peoples R China

关键词: Time-decay rates;    Navier-Stokes-Poisson equations;    Critical spaces;    L-P framework;   

DOI  :  10.1016/j.jde.2017.08.041

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free