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spelling ftunivnantes:oai:HAL:hal-00297325v2 2023-05-15T14:52:16+02:00 Ice formation in the Arctic during summer: false-bottoms Thanh Nam, Phan Pham Ngoc Dinh, Alain Hoang Quan, Pham Duc Trong, Dang Mathematics Department (UNS-HCMC) University of Natural Sciences- HoChiMinhCity Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO) Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS) University of Natural Sciences- HoChiMinh City (UNS-HCMC) University of Natural Sciences- HoChiMinh City Mathematics department Sai Gon University, Ho Chi Minh city 2014 https://hal.archives-ouvertes.fr/hal-00297325 https://hal.archives-ouvertes.fr/hal-00297325v2/document https://hal.archives-ouvertes.fr/hal-00297325v2/file/False-bottom.pdf https://doi.org/10.1016/j.amc.2013.11.003 en eng HAL CCSD Elsevier info:eu-repo/semantics/altIdentifier/arxiv/0807.2272 info:eu-repo/semantics/altIdentifier/doi/10.1016/j.amc.2013.11.003 hal-00297325 https://hal.archives-ouvertes.fr/hal-00297325 https://hal.archives-ouvertes.fr/hal-00297325v2/document https://hal.archives-ouvertes.fr/hal-00297325v2/file/False-bottom.pdf ARXIV: 0807.2272 doi:10.1016/j.amc.2013.11.003 info:eu-repo/semantics/OpenAccess ISSN: 0096-3003 Applied Mathematics and Computation https://hal.archives-ouvertes.fr/hal-00297325 Applied Mathematics and Computation, Elsevier, 2014, 227, pp.857-870. ⟨10.1016/j.amc.2013.11.003⟩ False-bottoms Free boundary problem Green's function Contraction Mapping Principle 35R35 35Q35 [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] info:eu-repo/semantics/article Journal articles 2014 ftunivnantes https://doi.org/10.1016/j.amc.2013.11.003 2022-10-11T22:50:06Z 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. Article in Journal/Newspaper Arctic Université de Nantes: HAL-UNIV-NANTES Arctic Applied Mathematics and Computation 227 857 870
institution Open Polar
collection Université de Nantes: HAL-UNIV-NANTES
op_collection_id ftunivnantes
language English
topic False-bottoms
Free boundary problem
Green's function
Contraction Mapping Principle
35R35
35Q35
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
spellingShingle False-bottoms
Free boundary problem
Green's function
Contraction Mapping Principle
35R35
35Q35
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Thanh Nam, Phan
Pham Ngoc Dinh, Alain
Hoang Quan, Pham
Duc Trong, Dang
Ice formation in the Arctic during summer: false-bottoms
topic_facet False-bottoms
Free boundary problem
Green's function
Contraction Mapping Principle
35R35
35Q35
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
description 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.
author2 Mathematics Department (UNS-HCMC)
University of Natural Sciences- HoChiMinhCity
Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO)
Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS)
University of Natural Sciences- HoChiMinh City (UNS-HCMC)
University of Natural Sciences- HoChiMinh City
Mathematics department
Sai Gon University, Ho Chi Minh city
format Article in Journal/Newspaper
author Thanh Nam, Phan
Pham Ngoc Dinh, Alain
Hoang Quan, Pham
Duc Trong, Dang
author_facet Thanh Nam, Phan
Pham Ngoc Dinh, Alain
Hoang Quan, Pham
Duc Trong, Dang
author_sort Thanh Nam, Phan
title Ice formation in the Arctic during summer: false-bottoms
title_short Ice formation in the Arctic during summer: false-bottoms
title_full Ice formation in the Arctic during summer: false-bottoms
title_fullStr Ice formation in the Arctic during summer: false-bottoms
title_full_unstemmed Ice formation in the Arctic during summer: false-bottoms
title_sort ice formation in the arctic during summer: false-bottoms
publisher HAL CCSD
publishDate 2014
url https://hal.archives-ouvertes.fr/hal-00297325
https://hal.archives-ouvertes.fr/hal-00297325v2/document
https://hal.archives-ouvertes.fr/hal-00297325v2/file/False-bottom.pdf
https://doi.org/10.1016/j.amc.2013.11.003
geographic Arctic
geographic_facet Arctic
genre Arctic
genre_facet Arctic
op_source ISSN: 0096-3003
Applied Mathematics and Computation
https://hal.archives-ouvertes.fr/hal-00297325
Applied Mathematics and Computation, Elsevier, 2014, 227, pp.857-870. ⟨10.1016/j.amc.2013.11.003⟩
op_relation info:eu-repo/semantics/altIdentifier/arxiv/0807.2272
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.amc.2013.11.003
hal-00297325
https://hal.archives-ouvertes.fr/hal-00297325
https://hal.archives-ouvertes.fr/hal-00297325v2/document
https://hal.archives-ouvertes.fr/hal-00297325v2/file/False-bottom.pdf
ARXIV: 0807.2272
doi:10.1016/j.amc.2013.11.003
op_rights info:eu-repo/semantics/OpenAccess
op_doi https://doi.org/10.1016/j.amc.2013.11.003
container_title Applied Mathematics and Computation
container_volume 227
container_start_page 857
op_container_end_page 870
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