Local existence of solutions to the free boundary value problem for the primitive equations of the ocean

Mihaela Ignatova; Igor Kukavica; Mohammed Ziane

doi:10.1063/1.4753991

Local existence of solutions to the free boundary value problem for the primitive equations of the ocean

Mihaela Ignatova
, Igor Kukavica
, Mohammed Ziane

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Lions, Temam, and Wang in ["Problème à frontière libre pour les modèles couplés de l'océan et de l'atmosphère," Acad. Sci., Paris, C. R.318(12), 1165-1171 (1994)] introduced a free surface model for the primitive equations of the ocean. In this paper, we establish the local well-posedness of the model with analytic initial data.

Original language	English (US)
Article number	103101
Journal	Journal of Mathematical Physics
Volume	53
Issue number	10
DOIs	https://doi.org/10.1063/1.4753991
State	Published - Sep 12 2012

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.4753991

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title = "Local existence of solutions to the free boundary value problem for the primitive equations of the ocean",

abstract = "Lions, Temam, and Wang in [{"}Probl{\`e}me {\`a} fronti{\`e}re libre pour les mod{\`e}les coupl{\'e}s de l'oc{\'e}an et de l'atmosph{\`e}re,{"} Acad. Sci., Paris, C. R.318(12), 1165-1171 (1994)] introduced a free surface model for the primitive equations of the ocean. In this paper, we establish the local well-posedness of the model with analytic initial data.",

author = "Mihaela Ignatova and Igor Kukavica and Mohammed Ziane",

note = "Funding Information: We thank Vlad Vicol for useful discussions. The authors were supported in part by the NSF grants DMS-115893, DMS-1009769, and DMS-1109562, respectively.",

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T1 - Local existence of solutions to the free boundary value problem for the primitive equations of the ocean

AU - Ignatova, Mihaela

AU - Kukavica, Igor

AU - Ziane, Mohammed

N1 - Funding Information: We thank Vlad Vicol for useful discussions. The authors were supported in part by the NSF grants DMS-115893, DMS-1009769, and DMS-1109562, respectively.

PY - 2012/9/12

Y1 - 2012/9/12

N2 - Lions, Temam, and Wang in ["Problème à frontière libre pour les modèles couplés de l'océan et de l'atmosphère," Acad. Sci., Paris, C. R.318(12), 1165-1171 (1994)] introduced a free surface model for the primitive equations of the ocean. In this paper, we establish the local well-posedness of the model with analytic initial data.

AB - Lions, Temam, and Wang in ["Problème à frontière libre pour les modèles couplés de l'océan et de l'atmosphère," Acad. Sci., Paris, C. R.318(12), 1165-1171 (1994)] introduced a free surface model for the primitive equations of the ocean. In this paper, we establish the local well-posedness of the model with analytic initial data.

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JF - Journal of Mathematical Physics

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M1 - 103101

ER -

Local existence of solutions to the free boundary value problem for the primitive equations of the ocean

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