Global solutions for micro-macro models of polymeric fluids |
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| Authors: | Zhen Lei Yun Wang |
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| Institution: | a School of Mathematical Sciences; LMNS and Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, Shanghai 200433, China
b The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong |
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| Abstract: | 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. |
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| Keywords: | 35Q35 76D03 |
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