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	Global existence of weak solutions to the regularized Hookean dumbbell model
	Zhang, Lingyun ; Zhang, Hui ; Zhang, Pingwen
	2008
关键词	global existence Hookean dumbbell model dilute polymer solutions Navier-Stokes equation Fokker-Planck equation Rothe method MICRO-MACRO MODEL POLYMERIC FLUIDS MATHEMATICAL-ANALYSIS LOCAL EXISTENCE FLOWS
英文摘要	We consider a regularized Hookean dumbbell model in dilute polymeric solutions. Compared with the classical model, this model here is more natural, in which appear a macro diffusive term epsilon Delta(x)psi and Friedrichs mollifiers with a parameter alpha. Based on a compactness axgument, the global existence of weak solutions to this model is established in the framework of the Rothe method. By a rigorous limiting process epsilon -> 0(+), we also obtain the global existence of weak solutions to the reduced model with epsilon = 0.; Mathematics, Applied; SCI(E); 5; ARTICLE; 1; 85-124; 6
语种	英语
出处	SCI
出版者	communications in mathematical sciences
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314897]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zhang, Lingyun,Zhang, Hui,Zhang, Pingwen. Global existence of weak solutions to the regularized Hookean dumbbell model. 2008-01-01.

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