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Compression Effects in Heterogeneous Media

Abstract : We study in this paper compression effects in heterogeneous media with maximal packing constraint. Starting from compressible Brinkman equations, where maximal packing is encoded in a singular pressure and a singular bulk viscosity, we show that the global weak solutions converge (up to a sub-sequence) to global weak solutions of the two-phase compressible/incompressible Brinkman equations with respect to a parameter ε which measures effects close to the maximal packing value. Depending on the importance of the bulk viscosity with respect to the pressure in the dense regimes, memory effects are activated or not at the limit in the congested (incompressible) domain.
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https://hal.archives-ouvertes.fr/hal-01838014
Contributor : Charlotte Perrin <>
Submitted on : Friday, July 5, 2019 - 3:51:48 PM
Last modification on : Thursday, November 19, 2020 - 9:24:02 AM

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  • HAL Id : hal-01838014, version 2

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D. Bresch, Š Nečasová, C. Perrin. Compression Effects in Heterogeneous Media. Journal de l'Ecole Polytechnique, Ecole Polytechnique, 2019. ⟨hal-01838014v2⟩

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