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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