Convergence to equilibrium of a multiscale model for suspensions

Eric Cancès; Claude Le Bris

doi:10.3934/dcdsb.2006.6.449

Article Contents

2006, Volume 6, Issue 3: 449-470. Doi: 10.3934/dcdsb.2006.6.449

This issue Previous Article Fast algorithms for the approximation of a traffic flow model on networks Next Article On the existence of scattering solutions for the Abraham-Lorentz-Dirac equation

Convergence to equilibrium of a multiscale model for suspensions

Eric Cancès^1, and
Claude Le Bris^2,

1.
CERMICS, École Nationale des Ponts et Chaussées, 6 et 8, avenue Blaise Pascal, Cité Descartes - Champs sur Marne, F-77455 Marne La Vallée Cedex 2
2.
CERMICS, École Nationale des Ponts et Chaussées, 6 & 8, avenue Blaise Pascal, 77455 Marne-La-Vallée Cedex 2

Received: March 31, 2005

Revised: November 30, 2005

Published: April 2007

Abstract Related Papers Cited by

Abstract

We consider a multiscale model describing the flow of a concentrated suspension. The model couples the macroscopic equation of conservation of momentum with a nonlinear nonlocal kinetic equation describing at the microscopic level the rheological behaviour of the fluid. We study the long-time limit of the time-dependent solution. For this purpose, we use the entropy method to prove the convergence to equilibrium of the kinetic equation.

Keywords:

Mathematics Subject Classification: 35G25, 35K55 ; Secondary: 76A05.

Citation:

Article Metrics

HTML views() PDF downloads(76) Cited by(0)

Convergence to equilibrium of a multiscale model for suspensions

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Convergence to equilibrium of a multiscale model for suspensions

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content