Global existence and asymptotic analysis of weak solutions to the equations of Ferrohydrodynamics

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	Global existence and asymptotic analysis of weak solutions to the equations of Ferrohydrodynamics
	Wang, Yanjin ; Tan, Zhong ; Wang YJ(王焰金) ; Tan Z(谭忠)
刊名	http://dx.doi.org/10.1016/j.nonrwa.2010.05.012
	2010-10
关键词	COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS FERROFLUID FLOW MODEL MAGNETIC FLUID UNIQUENESS DENSITY
英文摘要	National Science Foundation of China [10531020]; National Natural Science Foundation of China-NSAF [10976026]; In this paper, we consider the three-dimensional equations of Ferrohydrodynamics describing the motion of an incompressible ferrofluid under the action of an external magnetic field. We first consider the system introduced by Rosensweig. We establish the existence of globally defined finite energy weak solutions and also investigate the large-time behavior of such solutions. Then we study the asymptotic behavior of the solutions as some physical parameters in the angular momentum equations tend to zero, we prove that the limit functions will be weak solutions of the equations proposed by Shliomis. This shows rigorously the exact relationship of these two principal systems which describe the motion of ferrofluids. (C) 2010 Elsevier Ltd. All rights reserved.
语种	英语
出版者	NONLINEAR ANAL-REAL
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91013]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Wang, Yanjin,Tan, Zhong,Wang YJ,et al. Global existence and asymptotic analysis of weak solutions to the equations of Ferrohydrodynamics[J]. http://dx.doi.org/10.1016/j.nonrwa.2010.05.012,2010.
APA	Wang, Yanjin,Tan, Zhong,王焰金,&谭忠.(2010).Global existence and asymptotic analysis of weak solutions to the equations of Ferrohydrodynamics.http://dx.doi.org/10.1016/j.nonrwa.2010.05.012.
MLA	Wang, Yanjin,et al."Global existence and asymptotic analysis of weak solutions to the equations of Ferrohydrodynamics".http://dx.doi.org/10.1016/j.nonrwa.2010.05.012 (2010).