Asymptotical Behavior of Bipolar Non-Isentropic Compressible Navier-Stokes-Poisson System  

作　　者：Chen ZOU 

机构地区：[1]Department of Mechanics and Aerospace Engineering,COE,Peking University

出　　处：《Acta Mathematicae Applicatae Sinica》2016年第4期813-832,共20页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.10872004)

摘　　要：Abstract The bipolar non-isentropic compressible Navier-Stokes-Poisson （BNSP） system is investigated in R3 in the present paper, and the optimal L2 time decay rate for the global classical solution is established. It is shown that the total densities, total momenta and total temperatures of two carriers converge to the equilibrium states at the rate （1 ＋ t）-3/4＋εin L2-norm for any small and fix ε 〉 0. But, both the difference of densities and the difference of temperatures of two carriers decay at the optimal rate （1 ＋ t）- 3/4, and the difference of momenta decays at the optimal rate （1 ＋t）- 1/4. This phenomenon on the charge transport shows the essential difference between the non-isentropic unipolar NSP and the bipolar NSP system.Abstract The bipolar non-isentropic compressible Navier-Stokes-Poisson （BNSP） system is investigated in R3 in the present paper, and the optimal L2 time decay rate for the global classical solution is established. It is shown that the total densities, total momenta and total temperatures of two carriers converge to the equilibrium states at the rate （1 ＋ t）-3/4＋εin L2-norm for any small and fix ε 〉 0. But, both the difference of densities and the difference of temperatures of two carriers decay at the optimal rate （1 ＋ t）- 3/4, and the difference of momenta decays at the optimal rate （1 ＋t）- 1/4. This phenomenon on the charge transport shows the essential difference between the non-isentropic unipolar NSP and the bipolar NSP system.

关 键 词：non-isentropic bipolar Navier-Stokes-Poisson system optimal time decay rate 

分 类 号：O175[理学—数学]