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On degenerate coupled transport processes in porous media with memory phenomena

The result's identifiers

  • Result code in 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>

  • Result on the web

    <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>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On degenerate coupled transport processes in porous media with memory phenomena

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/GA16-20008S" target="_blank" >GA16-20008S: Multiscale modeling of early age concrete</a><br>

  • Continuities

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

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Zeitschrift für angewandte Mathematik und Mechanik

  • ISSN

    0044-2267

  • e-ISSN

    1521-4001

  • Volume of the periodical

    98

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    26

  • Pages from-to

    919-944

  • UT code for WoS article

    000434281400004

  • EID of the result in the Scopus database

    2-s2.0-85048317604