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Unsaturated deformable porous media flow with thermal phase transition
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SYSNO ASEP 0481815 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Unsaturated deformable porous media flow with thermal phase transition Tvůrce(i) Krejčí, Pavel (MU-W) RID, SAI, ORCID
Rocca, E. (IT)
Sprekels, J. (DE)Zdroj.dok. Mathematical Models and Methods in Applied Sciences. - : World Scientific Publishing - ISSN 0218-2025
Roč. 27, č. 14 (2017), s. 2675-2710Poč.str. 36 s. Jazyk dok. eng - angličtina Země vyd. SG - Singapur Klíč. slova porous media ; phase transitions ; existence of solutions Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics CEP GA15-12227S GA ČR - Grantová agentura ČR Institucionální podpora MU-W - RVO:67985840 UT WOS 000418031700003 EID SCOPUS 85034024080 DOI 10.1142/S0218202517500555 Anotace 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2018
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