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Ice formation in the Arctic during summer: false-bottoms

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.
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Submitted on : Wednesday, November 23, 2011 - 2:54:05 PM
Last modification on : Tuesday, October 12, 2021 - 5:20:09 PM
Long-term archiving on: : Friday, February 24, 2012 - 2:27:12 AM


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Phan Thanh Nam, Alain Pham Ngoc Dinh, Pham Hoang Quan, Dang Duc Trong. Ice formation in the Arctic during summer: false-bottoms. Applied Mathematics and Computation, Elsevier, 2014, 227, pp.857-870. ⟨10.1016/j.amc.2013.11.003⟩. ⟨hal-00297325v2⟩



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