Mathematical model for ice formation in the Arctic during summer
The only source of ice formation in the Arctic during summer is a layer of ice between an under-ice melt pond and the underlying ocean, called false-bottoms. The simultaneous growth and ablation of false-bottoms is governed by both of heat fluxes and salt fluxes. This is a two-phase Stefan problem w...
| Main Authors: | , , |
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| Format: | Text |
| Language: | English |
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| Online Access: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.247.9456 http://arxiv.org/pdf/0807.2272v1.pdf |
| Summary: | The only source of ice formation in the Arctic during summer is a layer of ice between an under-ice melt pond and the underlying ocean, called false-bottoms. The simultaneous growth and ablation of false-bottoms is governed by both of heat fluxes and salt fluxes. This is a two-phase Stefan problem with two free boundaries. We first use Green functions to reduce this problem to solving a system of nonlinear integral equations, and then apply the contraction principle to prove the existence and uniqueness of the solution under suitable data. |
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