Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6421830 | Applied Mathematics and Computation | 2014 | 14 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Phan Thanh Nam, Pham Ngoc Dinh Alain, Dang Duc Trong, Pham Hoang Quan,