Number of the records: 1
Compression effects in heterogeneous media
- 1.
SYSNO ASEP 0505707 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Compression effects in heterogeneous media Author(s) Bresch, D. (FR)
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Perrin, Ch. (FR)Source Title Journal de l'École Polytechnique Mathématiques. - : Ecole Polytechnique - ISSN 2429-7100
Roč. 6, June (2019), s. 433-467Number of pages 35 s. Language eng - English Country FR - France Keywords compressible Brinkman equations ; maximal packing ; singular limit ; free boundary Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA16-03230S GA ČR - Czech Science Foundation (CSF) GA19-04243S GA ČR - Czech Science Foundation (CSF) Method of publishing Open access Institutional support MU-W - RVO:67985840 UT WOS 000604819600014 EID SCOPUS 85071372089 DOI 10.5802/jep.98 Annotation 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 subsequence) 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2020 Electronic address http://dx.doi.org/10.5802/jep.98
Number of the records: 1