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Asymptotical Behavior of Bipolar Non-Isentropic Compressible Navier-Stokes-Poisson System
Zou, Chen
刊名ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
2016
关键词non-isentropic bipolar Navier-Stokes-Poisson system optimal time decay rate EQUATIONS CONVERGENCE EXISTENCE FLUIDS LIMIT FLOW
DOI10.1007/s10255-016-0596-3
英文摘要The bipolar non-isentropic compressible Navier-Stokes-Poisson (BNSP) system is investigated in R-3 in the present paper, and the optimal L-2 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+epsilon) in L-2-norm for any small and fix epsilon > 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.; National Natural Science Foundation of China [10872004]; SCI(E); 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); ARTICLE; zouchen@pku.edu.cn; 4; 813-832; 32
语种英语
内容类型期刊论文
源URL[http://ir.pku.edu.cn/handle/20.500.11897/458804]  
专题工学院
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Zou, Chen. Asymptotical Behavior of Bipolar Non-Isentropic Compressible Navier-Stokes-Poisson System[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2016.
APA Zou, Chen.(2016).Asymptotical Behavior of Bipolar Non-Isentropic Compressible Navier-Stokes-Poisson System.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES.
MLA Zou, Chen."Asymptotical Behavior of Bipolar Non-Isentropic Compressible Navier-Stokes-Poisson System".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES (2016).
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