Local Existence for the FENE-Dumbbell Model of Polymeric Fluids |
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| Authors: | Hui Zhang Pingwen Zhang |
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| Institution: | (1) School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P.R. China;(2) LMAM and School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China |
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| Abstract: | We study the well-posedness of a multi-scale model of polymeric fluids. The microscopic model is the kinetic theory of the
finitely extensible nonlinear elastic (FENE) dumbbell model. The macroscopic model is the incompressible non-Newton fluids
with polymer stress computed via the Kramers expression. The boundary condition of the FENE-type Fokker-Planck equation is
proved to be unnecessary by the singularity on the boundary. Other main results are the local existence, uniqueness and regularity
theorems for the FENE model in certain parameter range. |
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