GLOBAL WEAK SOLUTIONS TO DEGENERATE COUPLED DIFFUSION-CONVECTION-DISPERSION PROCESSES AND HEAT TRANSPORT IN POROUS MEDIA

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F17%3A00315819" target="_blank" >RIV/68407700:21110/17:00315819 - isvavai.cz</a>

Výsledek na webu

<a href="https://ejde.math.txstate.edu/" target="_blank" >https://ejde.math.txstate.edu/</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

GLOBAL WEAK SOLUTIONS TO DEGENERATE COUPLED DIFFUSION-CONVECTION-DISPERSION PROCESSES AND HEAT TRANSPORT IN POROUS MEDIA

Popis výsledku v původním jazyce

In this contribution we prove the existence of weak solutions to degenerate parabolic systems arising from the coupled moisture movement, transport of dissolved species and heat transfer through partially saturated porous materials. Physically motivated mixed Dirichlet-Neumann boundary conditions and initial conditions are considered. Existence of a global weak solution of the problem is proved by means of semidiscretization in time and by passing to the limit from discrete approximations. Degeneration occurs in the nonlinear transport coefficients which are not assumed to be bounded below and above by positive constants. Degeneracies in all transport coefficients are overcome by proving suitable a priori L1-estimates for the approximations of primary unknowns of the system.

Název v anglickém jazyce

GLOBAL WEAK SOLUTIONS TO DEGENERATE COUPLED DIFFUSION-CONVECTION-DISPERSION PROCESSES AND HEAT TRANSPORT IN POROUS MEDIA

Popis výsledku anglicky

In this contribution we prove the existence of weak solutions to degenerate parabolic systems arising from the coupled moisture movement, transport of dissolved species and heat transfer through partially saturated porous materials. Physically motivated mixed Dirichlet-Neumann boundary conditions and initial conditions are considered. Existence of a global weak solution of the problem is proved by means of semidiscretization in time and by passing to the limit from discrete approximations. Degeneration occurs in the nonlinear transport coefficients which are not assumed to be bounded below and above by positive constants. Degeneracies in all transport coefficients are overcome by proving suitable a priori L1-estimates for the approximations of primary unknowns of the system.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of the International Conference on Applications of Mathematics to Nonlinear Sciences, Kathmandu, Nepal, May 26-29, 2016. Electronic Journal of Differential Equations: Conference 24, 2017

ISBN

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ISSN

1072-6691

e-ISSN

1072-6691

Počet stran výsledku

12

Strana od-do

11-22

Název nakladatele

Texas State University-San Marcos

Místo vydání

San Marcos

Místo konání akce

Kathmandu

Datum konání akce

26. 5. 2016

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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