Ice formation in the Arctic during summer: false-bottoms
Analysis of PDEs
2013-12-17 v2
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.
Cite
@article{arxiv.0807.2272,
title = {Ice formation in the Arctic during summer: false-bottoms},
author = {Phan Thanh Nam and Alain Pham Ngoc Dinh and Pham Hoang Quan and Dang Duc Trong},
journal= {arXiv preprint arXiv:0807.2272},
year = {2013}
}
Comments
22 pages