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Unfolding method for the homogenization of Bingham flow

Authors :
Carmen Perugia
Renata Bunoiu
Giuseppe Cardone
José A. Ferreira, Sılvia Barbeiro, Goncalo Pena Mary F. Wheeler
Bunoiu, R.
Cardone, G.
Perugia, C
Laboratoire de Mathématiques et Applications de Metz (LMAM)
Centre National de la Recherche Scientifique (CNRS)-Université Paul Verlaine - Metz (UPVM)
Dipartimento di Ingegneria [Benevento]
Università degli Studi del Sannio
Dipartimento di Studi Geologici ed Ambientali
Universit a del Sannio
Source :
Modelling and Simulation in Fluid Dynamics in Porous Media ISBN: 9781461450542, Springer proceedings in mathematics & statistics vol. 28, Workshop on Fluid Dynamics in Porous Media, Workshop on Fluid Dynamics in Porous Media, Sep 2011, Coimbra, Portugal. pp.109-123
Publication Year :
2013
Publisher :
Springer, 2013.

Abstract

International audience; 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).

Details

Language :
English
ISBN :
978-1-4614-5054-2
ISBNs :
9781461450542
Database :
OpenAIRE
Journal :
Modelling and Simulation in Fluid Dynamics in Porous Media ISBN: 9781461450542, Springer proceedings in mathematics & statistics vol. 28, Workshop on Fluid Dynamics in Porous Media, Workshop on Fluid Dynamics in Porous Media, Sep 2011, Coimbra, Portugal. pp.109-123
Accession number :
edsair.doi.dedup.....ff016a7b8ae089f09c5715a6775b214c