Unsaturated deformable porous media flow with thermal phase transition

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00481815" target="_blank" >RIV/67985840:_____/17:00481815 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1142/S0218202517500555" target="_blank" >http://dx.doi.org/10.1142/S0218202517500555</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0218202517500555" target="_blank" >10.1142/S0218202517500555</a>

Result language

angličtina

Original language name

Unsaturated deformable porous media flow with thermal phase transition

Original language description

In this paper, a continuum model is introduced for fluid flow in a deformable porous medium, where the fluid may undergo phase transitions. Typically, such problems arise in modeling liquid–solid phase transformations in groundwater flows. The system of equations is derived here from the conservation principles for mass, momentum, and energy and from the Clausius–Duhem inequality for entropy. It couples the evolution of the displacement in the matrix material, of the capillary pressure, of the absolute temperature, and of the phase fraction. Mathematical results are proved under the additional hypothesis that inertia effects and shear stresses can be neglected. For the resulting highly nonlinear system of two PDEs, one ODE and one ordinary differential inclusion with natural initial and boundary conditions, existence of global in time solutions are proved by means of cut-off techniques and suitable Moser-type estimates.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10102 - Applied mathematics

Project

<a href="/en/project/GA15-12227S" target="_blank" >GA15-12227S: Analysis of mathematical models of multifunctional materials with hysteresis</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematical Models and Methods in Applied Sciences

ISSN

0218-2025

e-ISSN

—

Volume of the periodical

27

Issue of the periodical within the volume

14

Country of publishing house

SG - SINGAPORE

Number of pages

36

Pages from-to

2675-2710

UT code for WoS article

000418031700003

EID of the result in the Scopus database

2-s2.0-85034024080