Convergence to equilibrium of a multiscale model for suspensions

Eric Cancès; Claude Le Bris

doi:10.3934/dcdsb.2006.6.449

Convergence to equilibrium of a multiscale model for suspensions

Eric Cancès
, Claude Le Bris

École des ponts

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We consider a inultiscale 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.

langue originale	Anglais
Pages (de - à)	449-470
Nombre de pages	22
journal	Discrete and Continuous Dynamical Systems - Series B
Volume	6
Numéro de publication	3
Les DOIs	https://doi.org/10.3934/dcdsb.2006.6.449
état	Publié - 1 janv. 2006

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title = "Convergence to equilibrium of a multiscale model for suspensions",

abstract = "We consider a inultiscale 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 = "Concentrated suspension, Convergence to equilibrium, Couette flow, Entropy method, Long-time limit, Non-Newtonian fluid, Partial differential equation",

author = "Eric Canc{\`e}s and \{Le Bris\}, Claude",

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KW - Concentrated suspension

KW - Convergence to equilibrium

KW - Couette flow

KW - Entropy method

KW - Long-time limit

KW - Non-Newtonian fluid

KW - Partial differential equation

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JO - Discrete and Continuous Dynamical Systems - Series B

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Convergence to equilibrium of a multiscale model for suspensions

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