Global solutions for micro-macro models of polymeric fluids

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:250

Article

Lei, Zhen^1,2  Wang, Yun³ 

[1] Fudan Univ, Sch Math Sci, LMNS, Shanghai 200433, Peoples R China

[2] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

[3] Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China

关键词: FENE dumbbell model;    Co-rotational;    Smoluchowski equation;    Global existence;   

DOI  :  10.1016/j.jde.2011.01.005

来源: Elsevier

【 摘 要 】

We provide a new proof for the global well-posedness of systems coupling fluids and polymers in two space dimensions. Compared to the well-known existing method based on the losing a priori estimates, our method is more direct and much simpler. The co-rotational FENE dumbbell model and the coupling Smoluchowski and Navier-Stokes equations are studied as examples to illustrate our main ideas. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free