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Communication Dans Un Congrès Année : 2013

Unfolding Method for the Homogenization of Bingham Flow

Résumé

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 homogenization, method introduced in Cioranescu et al. (SIAM J. Math. Anal.40:1585–1620, 2008).
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Dates et versions

hal-01283636 , version 1 (09-01-2022)

Identifiants

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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, ⟨10.1007/978-1-4614-5055-9_7⟩. ⟨hal-01283636⟩
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