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.
Document type :
Preprints, Working Papers, ...
Liste complète des métadonnées

Cited literature [19 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01838014
Contributor : Charlotte Perrin <>
Submitted on : Friday, July 13, 2018 - 9:33:43 AM
Last modification on : Monday, March 4, 2019 - 2:04:22 PM
Document(s) archivé(s) le : Monday, October 15, 2018 - 2:56:07 PM

File

BrNePe.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01838014, version 1

Citation

D. Bresch, Š Nečasová, C. Perrin. Compression Effects in Heterogeneous Media. 2018. ⟨hal-01838014⟩

Share

Metrics

Record views

48

Files downloads

17