Affiliation of Author(s):理学院
Journal:JOURNAL OF DIFFERENTIAL EQUATIONS
Key Words:Compressible Navier-Stokes-Poisson system Decay estimates Critical Besov spaces
Abstract: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 No.:0022-0396
Translation or Not:no
Date of Publication:2019-05-05
Co-author:Shi, Weixuan
Correspondence Author:徐江