Phase transitions in porous media

The full quasistatic thermomechanical system of PDEs, describing water diffusion with the possibility of freezing and melting in a visco-elasto-plastic porous solid, is studied in detail under the hypothesis that the pressure-saturation hysteresis relation is given in terms of the Preisach hysteresi...

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Autores principales: Gavioli, Chiara, Krejčí, Pavel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9519144/
https://www.ncbi.nlm.nih.gov/pubmed/36187358
http://dx.doi.org/10.1007/s00030-022-00805-z
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author Gavioli, Chiara
Krejčí, Pavel
author_facet Gavioli, Chiara
Krejčí, Pavel
author_sort Gavioli, Chiara
collection PubMed
description The full quasistatic thermomechanical system of PDEs, describing water diffusion with the possibility of freezing and melting in a visco-elasto-plastic porous solid, is studied in detail under the hypothesis that the pressure-saturation hysteresis relation is given in terms of the Preisach hysteresis operator. The resulting system of balance equations for mass, momentum, and energy coupled with the phase dynamics equation is shown to admit a global solution under general assumptions on the data.
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spelling pubmed-95191442022-09-29 Phase transitions in porous media Gavioli, Chiara Krejčí, Pavel Nonlinear Differ Equ Appl Article The full quasistatic thermomechanical system of PDEs, describing water diffusion with the possibility of freezing and melting in a visco-elasto-plastic porous solid, is studied in detail under the hypothesis that the pressure-saturation hysteresis relation is given in terms of the Preisach hysteresis operator. The resulting system of balance equations for mass, momentum, and energy coupled with the phase dynamics equation is shown to admit a global solution under general assumptions on the data. Springer International Publishing 2022-09-20 2022 /pmc/articles/PMC9519144/ /pubmed/36187358 http://dx.doi.org/10.1007/s00030-022-00805-z Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Gavioli, Chiara
Krejčí, Pavel
Phase transitions in porous media
title Phase transitions in porous media
title_full Phase transitions in porous media
title_fullStr Phase transitions in porous media
title_full_unstemmed Phase transitions in porous media
title_short Phase transitions in porous media
title_sort phase transitions in porous media
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9519144/
https://www.ncbi.nlm.nih.gov/pubmed/36187358
http://dx.doi.org/10.1007/s00030-022-00805-z
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