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...

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Main Authors: Alain Pham, Ngoc Dinh, Phan Thanh Nam
Other Authors: The Pennsylvania State University CiteSeerX Archives
Format: Text
Language:English
Published:
Subjects:
false-bottoms
free boundaries problem
contraction principle
Arctic
Online Access:http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.247.9456
http://arxiv.org/pdf/0807.2272v1.pdf
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spelling ftciteseerx:oai:CiteSeerX.psu:10.1.1.247.9456 2023-05-15T14:49:52+02:00 Mathematical model for ice formation in the Arctic during summer Alain Pham Ngoc Dinh Phan Thanh Nam The Pennsylvania State University CiteSeerX Archives 807 application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.247.9456 http://arxiv.org/pdf/0807.2272v1.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.247.9456 http://arxiv.org/pdf/0807.2272v1.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://arxiv.org/pdf/0807.2272v1.pdf false-bottoms free boundaries problem contraction principle text ftciteseerx 2016-01-07T19:33:25Z 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. Text Arctic Unknown Arctic
institution Open Polar
collection Unknown
op_collection_id ftciteseerx
language English
topic false-bottoms
free boundaries problem
contraction principle
spellingShingle false-bottoms
free boundaries problem
contraction principle
Alain Pham
Ngoc Dinh
Phan Thanh Nam
Mathematical model for ice formation in the Arctic during summer
topic_facet false-bottoms
free boundaries problem
contraction principle
description 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.
author2 The Pennsylvania State University CiteSeerX Archives
format Text
author Alain Pham
Ngoc Dinh
Phan Thanh Nam
author_facet Alain Pham
Ngoc Dinh
Phan Thanh Nam
author_sort Alain Pham
title Mathematical model for ice formation in the Arctic during summer
title_short Mathematical model for ice formation in the Arctic during summer
title_full Mathematical model for ice formation in the Arctic during summer
title_fullStr Mathematical model for ice formation in the Arctic during summer
title_full_unstemmed Mathematical model for ice formation in the Arctic during summer
title_sort mathematical model for ice formation in the arctic during summer
publishDate
url http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.247.9456
http://arxiv.org/pdf/0807.2272v1.pdf
geographic Arctic
geographic_facet Arctic
genre Arctic
genre_facet Arctic
op_source http://arxiv.org/pdf/0807.2272v1.pdf
op_relation http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.247.9456
http://arxiv.org/pdf/0807.2272v1.pdf
op_rights Metadata may be used without restrictions as long as the oai identifier remains attached to it.
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