The Liouville Theorem and the L 2 Decay for the FENE Dumbbell Model of Polymeric Flows

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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 ...

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ژورنال

عنوان ژورنال: Archive for Rational Mechanics and Analysis

سال: 2016

ISSN: 0003-9527,1432-0673

DOI: 10.1007/s00205-016-1072-1