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Title: 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 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.
Authors:
 [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)
Publication Date:
OSTI Identifier:
22479640
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 57; Journal Issue: 2; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BRINES; DIFFUSION EQUATIONS; GINZBURG-LANDAU THEORY; HEAT; ICE; LIQUIDS; NAVIER-STOKES EQUATIONS; SEAS; SEPARATION PROCESSES; SOLUTES; TIME DEPENDENCE