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	Regularity of the solutions for micro-macro models near equilibrium
	He, Lingbing ; Zhang, Zhifei
	2010-05-06 ; 2010-05-06
关键词	Hookean spring model FENE dumbbell model regularity FENE-DUMBBELL MODEL GLOBAL WELL-POSEDNESS POLYMERIC FLUIDS EXISTENCE EQUATIONS 2D Mathematics, Applied Mathematics
中文摘要	In this paper, we study the regularity of solutions to two microscopic-macroscopic models: Hookean spring model and FENE dumbbell model. By making use of the structure of Fokker-Planck operator and establishing the general Hardy-Littlewood's inequality, we show that the classical solutions near the equilibrium obtained in [F Lin, C. Liu, Ping Zhang, On a micro-macro model for polymeric fluids near equilibrium. Comm. Pure Appl. Math. 60 (6) (2007) 838-866] and [F. Lin, Ping Zhang, The FENE dumbbell model near equilibrium, Acta Math. Sinica (Chin. Set.) 24 (2008) 529-538] become smooth with respect to the end-to-end vector variable q for any positive time. (C) 2008 Elsevier Inc. All rights reserved.
语种	英语 ; 英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE ; SAN DIEGO ; 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/13812]
专题	清华大学
推荐引用方式 GB/T 7714	He, Lingbing,Zhang, Zhifei. Regularity of the solutions for micro-macro models near equilibrium[J],2010, 2010.
APA	He, Lingbing,&Zhang, Zhifei.(2010).Regularity of the solutions for micro-macro models near equilibrium..
MLA	He, Lingbing,et al."Regularity of the solutions for micro-macro models near equilibrium".(2010).

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