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Unfolding method for the homogenization of Bingham flow
- 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