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Global well-posedness for 2D polymeric fluid models and growth estimate

文献类型：期刊论文

作者Masmoudi, Nader1; Zhang, Ping2; Zhang, Zhifei3
刊名PHYSICA D-NONLINEAR PHENOMENA
出版日期2008-07-15
卷号237期号:10-12页码:1663-1675
关键词nonlinear Fokker-Planck equations Navier-Stokes equations micro-macro interactions global well-posedness
ISSN号0167-2789
DOI10.1016/j.physd.2008.03.020
英文摘要Motivated by [P. Constantin, N. Masmoudi, Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D, Comm. Math. Phys. 278 (2008) 179-191; F. Lin, Ping Zhang, Zhifei Zhang, On the global existence of smooth solution to the 2-D FENE dumbbell model, Comm. Math. Phys. 277 (2008) 531-553], we prove the global existence of smooth solutions to a coupled microscopic-macroscopic model for polymeric fluid in 2D under the co-rotational assumption. Furthermore, we provide an estimate on the time growth of these solutions. Our method is general and can be applied to the co-rotational FENE model and to the rod-like model without the co-rotational assumption. (c) 2008 Elsevier B.V. All rights reserved.
WOS研究方向Mathematics ; Physics
语种英语
WOS记录号WOS:000257529200023
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/5299]  
专题数学所
通讯作者Masmoudi, Nader
作者单位1.NYU, Courant Inst, New York, NY 10012 USA
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
推荐引用方式
GB/T 7714		 Masmoudi, Nader,Zhang, Ping,Zhang, Zhifei. Global well-posedness for 2D polymeric fluid models and growth estimate[J]. PHYSICA D-NONLINEAR PHENOMENA,2008,237(10-12):1663-1675.
APA Masmoudi, Nader,Zhang, Ping,&Zhang, Zhifei.(2008).Global well-posedness for 2D polymeric fluid models and growth estimate.PHYSICA D-NONLINEAR PHENOMENA,237(10-12),1663-1675.
MLA Masmoudi, Nader,et al."Global well-posedness for 2D polymeric fluid models and growth estimate".PHYSICA D-NONLINEAR PHENOMENA 237.10-12(2008):1663-1675.

入库方式： OAI收割

来源：数学与系统科学研究院

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