Ice formation in the Arctic during summer: false-bottoms
22 pages International audience 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...
Published in: | Applied Mathematics and Computation |
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Main Authors: | , , , |
Other Authors: | , , , , , , , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
HAL CCSD
2014
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Subjects: | |
Online Access: | https://hal.science/hal-00297325 https://hal.science/hal-00297325v2/document https://hal.science/hal-00297325v2/file/False-bottom.pdf https://doi.org/10.1016/j.amc.2013.11.003 |
Summary: | 22 pages International audience 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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