A multicomponent flow model in deformable porous media

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SYSNO ASEP	0503792
Document Type	J - Journal Article
R&D Document Type	The record was not marked in the RIV
Subsidiary J	Článek ve WOS
Title	A multicomponent flow model in deformable porous media
Author(s)	Detmann, B. (DE) Krejčí, Pavel (MU-W)_{RID, SAI, ORCID}
Source Title	Mathematical Methods in the Applied Sciences. - : Wiley - ISSN 0170-4214 Roč. 42, č. 6 (2019), s. 1894-1906
Number of pages	13 s.
Language	eng - English
Country	GB - United Kingdom
Keywords	flows in porous media ; hysteresisn ; onlinear evolution equations
Subject RIV	BA - General Mathematics
OECD category	Pure mathematics
UT WOS	000463380900013
EID SCOPUS	85060245413
DOI	10.1002/mma.5482
Annotation	We propose a model for multicomponent flow of immiscible fluids in a deformable porous medium accounting for capillary hysteresis. Oil, water, and air in the soil pores offer a typical example of a real situation occurring in practice. We state the problem within the formalism of continuum mechanics as a slow diffusion process in Lagrange coordinates. The balance laws for volumes, masses, and momentum lead to a degenerate parabolic PDE system. In the special case of a rigid solid matrix material and three fluid components, we prove under further technical assumptions that the system is mathematically well posed in a small neighborhood of an equilibrium.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2020

Number of the records: 1