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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Bibliographic Details
Published in:Journal of Mathematical Physics
Main Authors: Berti, Alessia, Bochicchio, Ivana, Fabrizio, Mauro
Format: Article in Journal/Newspaper
Language:English
Published: 2016
Subjects:
Statistical and Nonlinear Physic
Mathematical Physics
Sea ice
Online Access:http://hdl.handle.net/11386/4707389
https://doi.org/10.1063/1.4941002
http://scitation.aip.org/content/aip/journal/jmp
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Summary: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.

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