Ice formation in the Arctic during summer: false-bottoms

Details Ice formation in the Arctic during summer: false-bottoms Ice formation in the Arctic during summer: false-bottoms

2008-07-15

arxiv.org/abs/0807.2272v2

Mathematics

Analysis of PDEs

22 pages

Scientific paper

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.

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