Convergence to equilibrium of a multiscale model for suspensions | Zendy

Éric Cancès | Zendy; Claude Le Bris | Zendy

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Convergence to equilibrium of a multiscale model for suspensions

Author(s) -

Éric Cancès,

Claude Le Bris

Publication year - 2006

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2006.6.449

Subject(s) - convergence (economics) , statistical physics , rheology , nonlinear system , limit (mathematics) , kinetic energy , conservation law , entropy (arrow of time) , mathematics , physics , classical mechanics , mathematical analysis , thermodynamics , quantum mechanics , economics , economic growth

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.

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