Long-Time Asymptotics of a Multiscale Model for Polymeric Fluid Flows |
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| Authors: | Benjamin Jourdain Claude Le Bris Tony Lelièvre Félix Otto |
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| Institution: | (1) CERMICS, Ecole Nationale des Ponts et Chaussées (ParisTech), 6 & 8 Av. Pascal, 77455 Champs-sur-Marne, France;(2) CRM, Université de Montréal, Case postale 6128, Succursale centre-ville, Montréal, H3C 3J7, Canada;(3) Institute for Applied Mathematics, University of Bonn, Wegelerstrasse 10, 53115 Bonn, Germany |
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| Abstract: | In this paper, we investigate the long-time behavior of some micro-macro models for polymeric fluids (Hookean model and FENE
model), in various settings (shear flow, general bounded domain with homogeneous Dirichlet boundary conditions on the velocity,
general bounded domain with non-homogeneous Dirichlet boundary conditions on the velocity). We use both probabilistic approaches
(coupling methods) and analytic approaches (entropy methods). |
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