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COMPRESSIBLE NON-ISENTROPIC BIPOLAR NAVIER-STOKES-POISSON SYSTEM IN R~3
Hsiao Ling ; Li Hailiang ; Yang Tong ; Zou Chen
刊名Acta Mathematica Scientia
2011
关键词Non-isentropic bipolar Navier-Stokes-Poisson system optimal time decay rate
英文摘要The compressible non-isentropic bipolar Navier-Stokes-Poisson (BNSP) system is investigated in R~3 in the present paper, and the optimal time decay rates of global strong solution are shown. For initial data being a perturbation of equilibrium state in H~l(R~3)∩B~(-s)_(1,1)(R~3) for l ≥ 4 and s ∈ (0, 1], it is shown that the density and temperature for each charged particle (like electron or ion) decay at the same optimal rate (1 + t)~(-3/4), but the momentum for each particle decays at the optimal rate (1 + t)~(-1/4-s/2) which is slower than the rate (1 + t)~(-3/4-s/2) for the compressible Navier-Stokes (NS) equations [19] for same initial data. However, the total momentum tends to the constant state at the rate (1+t)~(-3/4) as well, due to the interplay interaction of charge particles which counteracts the influence of electric field.; Partially supported by the NSFC,Supported by the NSFC,The funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality,Supported by the General Research Fund of Hong Kong, City Univ.; 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); 6; 2169-2194; 31
语种英语
内容类型期刊论文
源URL[http://ir.pku.edu.cn/handle/20.500.11897/450609]  
专题工学院
推荐引用方式
GB/T 7714
Hsiao Ling,Li Hailiang,Yang Tong,et al. COMPRESSIBLE NON-ISENTROPIC BIPOLAR NAVIER-STOKES-POISSON SYSTEM IN R~3[J]. Acta Mathematica Scientia,2011.
APA Hsiao Ling,Li Hailiang,Yang Tong,&Zou Chen.(2011).COMPRESSIBLE NON-ISENTROPIC BIPOLAR NAVIER-STOKES-POISSON SYSTEM IN R~3.Acta Mathematica Scientia.
MLA Hsiao Ling,et al."COMPRESSIBLE NON-ISENTROPIC BIPOLAR NAVIER-STOKES-POISSON SYSTEM IN R~3".Acta Mathematica Scientia (2011).
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