Open AccessLarge time behavior of solutions to the non-isentropic compressible Navier-Stokes-Poisson system in $\mathbb{R}^{3}$
Author(s) -
Zhong Tan,
谭忠,
Yong Wang,
Xu Zhang
Publication year - 2012
Publication title -
kinetic and related models
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.987
H-Index - 28
eISSN - 1937-5093
pISSN - 1937-5077
DOI - 10.3934/krm.2012.5.615
Subject(s) - isentropic process , compressibility , physics , momentum (technical analysis) , mathematical physics , thermodynamics , economics , finance
We are concerned with the long-time behavior of global strong solutions to the non-isentropic compressible Navier-Stokes-Poisson system in R-3, where the electric field is governed by the self-consistent Poisson equation. When the regular initial perturbations belong to H-4(R-3) boolean AND (B) over dot(1,infinity)(-s) (R-3) with s is an element of [0,1], we show that the density and momentum of the system converge to their equilibrium state at the optimal L-2-rates (1 + t)(-3/4-s/2) and (1 + t)(-1/4-s/2) respectively, and the decay rate is still (1 + t)(-3/4) for temperature which is proved to be not optimal.National Natural Science Foundation of China-NSAF [10976026