Transition and separation process in brine channels formation

In this paper, we discuss the formation of brine channels in sea ice. The model includes a time-dependent Ginzburg-Landau equation for the solid-liquid phase change, a diffusion equation of the Cahn-Hilliard kind for the solute dynamics, and the heat equation for the temperature change. The macrosco...

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Published in:Journal of Mathematical Physics
Main Authors: Berti, Alessia, Bochicchio, Ivana, Fabrizio, Mauro
Format: Article in Journal/Newspaper
Language:English
Published: 2016
Subjects:
Online Access:http://hdl.handle.net/11386/4707389
https://doi.org/10.1063/1.4941002
http://scitation.aip.org/content/aip/journal/jmp
id ftunisalernoiris:oai:www.iris.unisa.it:11386/4707389
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spelling ftunisalernoiris:oai:www.iris.unisa.it:11386/4707389 2024-02-11T10:08:31+01:00 Transition and separation process in brine channels formation Berti, Alessia Bochicchio, Ivana Fabrizio, Mauro Berti, Alessia Bochicchio, Ivana Fabrizio, Mauro 2016 http://hdl.handle.net/11386/4707389 https://doi.org/10.1063/1.4941002 http://scitation.aip.org/content/aip/journal/jmp eng eng info:eu-repo/semantics/altIdentifier/wos/WOS:000371620000075 volume:57 issue:2 firstpage:1 lastpage:14 numberofpages:14 journal:JOURNAL OF MATHEMATICAL PHYSICS http://hdl.handle.net/11386/4707389 doi:10.1063/1.4941002 info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84957927433 http://scitation.aip.org/content/aip/journal/jmp Statistical and Nonlinear Physic Mathematical Physics info:eu-repo/semantics/article 2016 ftunisalernoiris https://doi.org/10.1063/1.4941002 2024-01-24T17:43:41Z In this paper, we discuss the formation of brine channels in sea ice. The model includes a time-dependent Ginzburg-Landau equation for the solid-liquid phase change, a diffusion equation of the Cahn-Hilliard kind for the solute dynamics, and the heat equation for the temperature change. The macroscopic motion of the fluid is also considered, so the resulting differential system couples with the Navier-Stokes equation. The compatibility of this system with the thermodynamic laws and a maximum theorem is proved. Article in Journal/Newspaper Sea ice EleA@Unisa (Università degli Studi di Salerno) Journal of Mathematical Physics 57 2 023513
institution Open Polar
collection EleA@Unisa (Università degli Studi di Salerno)
op_collection_id ftunisalernoiris
language English
topic Statistical and Nonlinear Physic
Mathematical Physics
spellingShingle Statistical and Nonlinear Physic
Mathematical Physics
Berti, Alessia
Bochicchio, Ivana
Fabrizio, Mauro
Transition and separation process in brine channels formation
topic_facet Statistical and Nonlinear Physic
Mathematical Physics
description In this paper, we discuss the formation of brine channels in sea ice. The model includes a time-dependent Ginzburg-Landau equation for the solid-liquid phase change, a diffusion equation of the Cahn-Hilliard kind for the solute dynamics, and the heat equation for the temperature change. The macroscopic motion of the fluid is also considered, so the resulting differential system couples with the Navier-Stokes equation. The compatibility of this system with the thermodynamic laws and a maximum theorem is proved.
author2 Berti, Alessia
Bochicchio, Ivana
Fabrizio, Mauro
format Article in Journal/Newspaper
author Berti, Alessia
Bochicchio, Ivana
Fabrizio, Mauro
author_facet Berti, Alessia
Bochicchio, Ivana
Fabrizio, Mauro
author_sort Berti, Alessia
title Transition and separation process in brine channels formation
title_short Transition and separation process in brine channels formation
title_full Transition and separation process in brine channels formation
title_fullStr Transition and separation process in brine channels formation
title_full_unstemmed Transition and separation process in brine channels formation
title_sort transition and separation process in brine channels formation
publishDate 2016
url http://hdl.handle.net/11386/4707389
https://doi.org/10.1063/1.4941002
http://scitation.aip.org/content/aip/journal/jmp
genre Sea ice
genre_facet Sea ice
op_relation info:eu-repo/semantics/altIdentifier/wos/WOS:000371620000075
volume:57
issue:2
firstpage:1
lastpage:14
numberofpages:14
journal:JOURNAL OF MATHEMATICAL PHYSICS
http://hdl.handle.net/11386/4707389
doi:10.1063/1.4941002
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84957927433
http://scitation.aip.org/content/aip/journal/jmp
op_doi https://doi.org/10.1063/1.4941002
container_title Journal of Mathematical Physics
container_volume 57
container_issue 2
container_start_page 023513
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