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Archive for Rational Mechanics and Analysis

, Volume 181, Issue 1, pp 97–148 | Cite as

Long-Time Asymptotics of a Multiscale Model for Polymeric Fluid Flows

  • Benjamin JourdainEmail author
  • Claude Le Bris
  • Tony Lelièvre
  • Félix Otto
Article

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).

Keywords

Entropy Neural Network Complex System Fluid Flow Analytic Approach 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Benjamin Jourdain
    • 1
    Email author
  • Claude Le Bris
    • 1
  • Tony Lelièvre
    • 1
    • 2
  • Félix Otto
    • 3
  1. 1.CERMICSEcole Nationale des Ponts et Chaussées (ParisTech)Champs-sur-MarneFrance
  2. 2.CRMUniversité de MontréalMontréalCanada
  3. 3.Institute for Applied MathematicsUniversity of BonnBonnGermany

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