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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	449-470
Number of pages	22
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	6
Issue number	3
DOIs	https://doi.org/10.3934/dcdsb.2006.6.449
Publication status	Published - 1 Jan 2006

Keywords

Concentrated suspension
Convergence to equilibrium
Couette flow
Entropy method
Long-time limit
Non-Newtonian fluid
Partial differential equation

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10.3934/dcdsb.2006.6.449

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AB - 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.

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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

JF - Discrete and Continuous Dynamical Systems - Series B

IS - 3

ER -

Convergence to equilibrium of a multiscale model for suspensions

Abstract

Keywords

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