TIME ASYMPTOTIC BEHAVIOR OF THE BIPOLAR NAVIER-STOKES-POISSON SYSTEM

CORC > 北京大学 > 工学院

	TIME ASYMPTOTIC BEHAVIOR OF THE BIPOLAR NAVIER-STOKES-POISSON SYSTEM
	Li, Hai-Liang ; Yang, Tong ; Zou, Chen
刊名	acta mathematica scientia
	2009
关键词	bipolar Navier-Stokes-Poisson system optimal time convergence rate spectrum analysis total momentum COMPRESSIBLE FLOW EQUATIONS EXISTENCE LIMIT
英文摘要	The bipolar Navier-Stokes-Poisson system (BNSP) has been used to simulate the transport of charged particles (ions and electrons for instance) under the influence of electrostatic force governed by the self-consistent Poisson equation. The optimal L(2) time convergence rate for the global classical solution is obtained for a small initial perturbation of the constant equilibrium state. It is shown that due to the electric field, the difference of the charge densities tend to the equilibrium states at the optimal rate (1 + t)(-3/4) in L(2)-norm, while the individual momentum of the charged particles converges at the optimal rate (1 + t)(-1/4) which is slower than the rate (1 + t)(-3/4) for the compressible Navier-Stokes equations (NS). In addition, a new phenomenon on the charge transport is observed regarding the interplay between the two carriers that almost counteracts the influence of the electric field so that the total density and momentum of the two carriers converges at a faster rate (1 + t)(-3/4+epsilon) for any small constant epsilon > 0. The above estimates reveal the essential difference between the unipolar and the bipolar Navier-Stokes-Poisson systems.; Mathematics; SCI(E); 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); 15; ARTICLE; 6; 1721-1736; 29
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/245166]
专题	工学院
推荐引用方式 GB/T 7714	Li, Hai-Liang,Yang, Tong,Zou, Chen. TIME ASYMPTOTIC BEHAVIOR OF THE BIPOLAR NAVIER-STOKES-POISSON SYSTEM[J]. acta mathematica scientia,2009.
APA	Li, Hai-Liang,Yang, Tong,&Zou, Chen.(2009).TIME ASYMPTOTIC BEHAVIOR OF THE BIPOLAR NAVIER-STOKES-POISSON SYSTEM.acta mathematica scientia.
MLA	Li, Hai-Liang,et al."TIME ASYMPTOTIC BEHAVIOR OF THE BIPOLAR NAVIER-STOKES-POISSON SYSTEM".acta mathematica scientia (2009).