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Unfolding Method for the Homogenization of Bingham Flow

Abstract : We are interested in the homogenization of a stationary Bingham flow in a porous medium. The model and the formal expansion of this problem are introduced in Lions and Sanchez-Palencia (J. Math. Pures Appl. 60:341–360, 1981) and a rigorous justification of the convergence of the homogenization process is given in Bourgeat and Mikelic (J. Math. Pures Appl. 72:405–414, 1993), by using monotonicity methods coupled with the two-scale convergence method. In order to get the homogenized problem, we apply here the unfolding method in homogeniza-tion, method introduced in Cioranescu et al. (SIAM J. Math. Anal.40:1585–1620, 2008).
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https://hal.inria.fr/hal-01283636
Contributor : Renata Bunoiu <>
Submitted on : Saturday, March 5, 2016 - 8:15:28 PM
Last modification on : Thursday, February 25, 2021 - 10:50:04 AM

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  • HAL Id : hal-01283636, version 1

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R Bunoiu, G Cardone, C Perugia. Unfolding Method for the Homogenization of Bingham Flow. Workshop on Fluid Dynamics in Porous Media, Sep 2011, Coimbra, Portugal. pp.109-123. ⟨hal-01283636⟩

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