We establish the time decay rates of the solution to the Cauchy problem for the compressible Navier–Stokes–Poisson system via a refined pure energy method. In particular, the optimal decay rates of the higher-order spatial derivatives of the solution are obtained. The H˙−s (0⩽s<3/2...
Decay of the Navier-Stokes-Poisson equations周海军高真圣
Decay of the Navier–Stokes–Poisson equations 来自 ResearchGate 喜欢 0 阅读量: 40 作者: Wang, Yanjin 摘要: We establish the time decay rates of the solution to the Cauchy problem for the compressible Navier–Stokes–Poisson system via a refined pure energy method. In...
We prove the global existence of classical solutions to a fluid-particle interaction model in ℝ3, namely, compressible Navier-Stokes-Smoluchowski equations, when the initial data are close to the stationary state (ρ*, 0, η*) and the external potential satisfies the smallness assumption. Furth...
In this paper, we consider an incompressible viscous flow without surface tension in a finite-depth domain of three dimensions, with a free top boundary and a fixed bottom boundary. The system is governed by the Navier--Stokes equations in this moving domain. Traditionally, this problem can be...
Moreover, this model could be used to describe global properties of quantum plasmas. It is worth mentioning that system (1.1) will reduce to the compressible MHD equations without quantum effects. There is a vast literature addressing the decay and other asymptotic behaviors of compressible fluid ...
Optimal decay rate of the compressible Navier–Stokes–Poisson system in R3 Arch. Ration. Mech. Anal., 196 (2010), pp. 681-713 CrossrefView in ScopusGoogle Scholar [22] T.-P. Liu, W.-K. Wang The pointwise estimates of diffusion waves for the Navier–Stokes equations in odd multi-dime...
It is worth noting that the vacuum of initial density is allowed. This is a preview of subscription content, log in via an institution to check access. Similar content being viewed by others Global strong solutions to the 3D non-isentropic compressible Navier–Stokes-Poisson equations in ...
We consider the Cauchy problem of the compressible Navier–Stokes system coupled with a Poisson equation. We give the optimal well-posedness in terms of sc... N Chikami,T Ogawa - 《Journal of Evolution Equations》 被引量: 2发表: 2016年 GLOBAL WELL-POSEDNESS AND DECAY RESULTS FOR 3D GENERAL...
Decay of the non-isentropic Navier–Stokes–Poisson equationsTanZ.ZhangX.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS