L2-decay for the compressible Navier–Stokes equations in unbounded domains Comm. Partial Differential Equations, 18 (1993), pp. 1445-1476 CrossrefView in ScopusGoogle Scholar [3] R.J. Duan, R.M. Strain Optimal
Navier–Stokes–Poisson equationsEnergy methodOptimal decay ratesSobolev interpolationNegative Sobolev spaceWe establish the time decay rates of the solution to the Cauchy problem for the non-isentropic compressible Navier–Stokes–Poisson system via a refined pure energy method. In particular, the optimal...
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 ...
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 ...
Decay of the non-isentropic Navier–Stokes–Poisson equationsTanZ.ZhangX.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Decay of the Navier-Stokes-Poisson equations周海军高真圣
The present paper is dedicated to the large‐time asymptotic behavior of global strong solutions near constant equilibrium (away from vacuum) to the compressible Navier‐Stokes‐Poisson equations in the L p critical framework. The proof mainly depends on the pure energy argument without the spectral...
Navier–Stokes–Poisson equationslarge time behavioroptimal decay ratesWe are concerned with the Cauchy problem of the 3D compressible Navier–Stokes–Poisson system. Compared to the previous related works, the main purpose of this paper is two–fold: First, we prove the optimal decay rates of ...
In this paper, we focus on Cauchy problem of the non‐isentropic compressible Navier–Stokes–Poisson system with the initial perturbation (ρ0ρ,m0,θ0θ)$$ \\left({ho}^0-\\overline{ho},{\\mathbf{m}}^0,{heta}^0-\\overline{heta}ight) $$ belonging to the space Hl(3)∩B˙1,∞...
Moreover, we apply this method to a model arising from electro-hydrodynamics, which is a strongly coupled system of the Navier–Stokes equations and the Poisson–Nernst–Planck equations through charge transport and external forcing terms. We show that some weighted negative Besov norms of solutions...