Decay of the two-species Vlasov-Poisson-Boltzmann system

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	Decay of the two-species Vlasov-Poisson-Boltzmann system
	Wang, Yanjin ; Wang YJ(王焰金)
刊名	http://dx.doi.org/10.1016/j.jde.2012.12.007
	2013
关键词	WHOLE SPACE DIFFUSIVE LIMIT CLASSICAL-SOLUTIONS CAUCHY-PROBLEM BINARY FLUIDS EQUATION MAXWELLIANS STABILITY EXISTENCE
英文摘要	Specialized Research Fund for the Doctoral Program of Higher Education [20120121120023]; Natural Science Foundation of Fujian Province of China [2012J05011]; National Natural Science Foundation of China [11201389]; We establish the time decay rates of the solution to the Cauchy problem for the two-species Vlasov-Poisson-Boltzmann system near Maxwellians via a refined pure energy method. The total density of two species of particles decays at the optimal algebraic rate as the Boltzmann equation, but the disparity between two, species and the electric field decay at an exponential rate. This phenomenon reveals the essential difference when compared to the one-species Vlasov-Poisson-Boltzmann system or the Navier-Stokes-Poisson equations in which the electric field decays at the optimal algebraic rate, and compared to the Vlasov-Boltzmann system in which the disparity between two species decays at the optimal algebraic rate. Our achievement heavily relies on a reformulation of the problem which well displays the cancelation property of the two-species system, and our proof is based on a family of scaled energy estimates with minimum derivative counts and interpolations among them without linear decay analysis. (c) 2012 Elsevier Inc. All rights reserved.
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91181]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Wang, Yanjin,Wang YJ. Decay of the two-species Vlasov-Poisson-Boltzmann system[J]. http://dx.doi.org/10.1016/j.jde.2012.12.007,2013.
APA	Wang, Yanjin,&王焰金.(2013).Decay of the two-species Vlasov-Poisson-Boltzmann system.http://dx.doi.org/10.1016/j.jde.2012.12.007.
MLA	Wang, Yanjin,et al."Decay of the two-species Vlasov-Poisson-Boltzmann system".http://dx.doi.org/10.1016/j.jde.2012.12.007 (2013).