Ice formation in the Arctic during summer: false-bottomsReport as inadecuate

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1 UNS-HCMC - Mathematics Department 2 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans 3 UNS-HCMC - University of Natural Sciences- HoChiMinh City 4 Mathematics department

Abstract : The only source of ice formation in the Arctic during summer is a layer of ice called false-bottoms between an under-ice melt pond and the underlying ocean. Of interest is to give a mathematical model in order to determine the simultaneous growth and ablation of false-bottoms, which is governed by both of heat fluxes and salt fluxes. In one dimension, this problem may be considered mathematically as a two-phase Stefan problem with two free boundaries. Our main result is to prove the existence and uniqueness of the solution from the initial condition.

Keywords : False-bottoms Free boundary problem Green-s function Contraction Mapping Principle

Author: Phan Thanh Nam - Alain Pham Ngoc Dinh - Pham Hoang Quan - Dang Duc Trong -



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