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Transition and separation process in brine channels formation

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.4941002· OSTI ID:22479640
 [1];  [2];  [3]
  1. Facoltà di Ingegneria, Università e-Campus, Via Isimbardi 10, 22060 Novedrate, CO (Italy)
  2. Dipartimento di Matematica, Universitá degli Studi di Salerno, Via Giovanni Paolo II, 84084 Fisciano, SA (Italy)
  3. Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato, 40126 Bologna (Italy)
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.
OSTI ID:
22479640
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 2 Vol. 57; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English

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