On degenerate coupled transport processes in porous media with memory phenomena

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F18%3A00316375" target="_blank" >RIV/68407700:21110/18:00316375 - isvavai.cz</a>

Výsledek na webu

<a href="https://onlinelibrary.wiley.com/doi/abs/10.1002/zamm.201700158" target="_blank" >https://onlinelibrary.wiley.com/doi/abs/10.1002/zamm.201700158</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/zamm.201700158" target="_blank" >10.1002/zamm.201700158</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On degenerate coupled transport processes in porous media with memory phenomena

Popis výsledku v původním jazyce

In this paper we prove the global existence of weak solutions to degenerate parabolic systems coupled with an integral condition arising from the fully coupled moisture movement, transport of dissolved chemical species and heat transfer through porous materials. The problem under consideration covers a large range of problems including hygro-thermo-chemical modelling of concrete at early ages taking into account hydration (memory) phenomena. In the model, all changes of material properties are expressed as functions of state variables and the memory function (the so called hydration degree). Physically relevant mixed Dirichlet-Neumann boundary conditions and initial conditions are considered. Existence of global weak solutions of the problem is proved by means of semidiscretization in time, proving necessary uniform estimates and by passing to the limit from discrete approximations.

Název v anglickém jazyce

On degenerate coupled transport processes in porous media with memory phenomena

Popis výsledku anglicky

In this paper we prove the global existence of weak solutions to degenerate parabolic systems coupled with an integral condition arising from the fully coupled moisture movement, transport of dissolved chemical species and heat transfer through porous materials. The problem under consideration covers a large range of problems including hygro-thermo-chemical modelling of concrete at early ages taking into account hydration (memory) phenomena. In the model, all changes of material properties are expressed as functions of state variables and the memory function (the so called hydration degree). Physically relevant mixed Dirichlet-Neumann boundary conditions and initial conditions are considered. Existence of global weak solutions of the problem is proved by means of semidiscretization in time, proving necessary uniform estimates and by passing to the limit from discrete approximations.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA16-20008S" target="_blank" >GA16-20008S: Víceúrovňový popis chování raného betonu</a><br>

Návaznosti

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

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

Zeitschrift für angewandte Mathematik und Mechanik

ISSN

0044-2267

e-ISSN

1521-4001

Svazek periodika

98

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

26

Strana od-do

919-944

Kód UT WoS článku

000434281400004

EID výsledku v databázi Scopus

2-s2.0-85048317604