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Well-Posedness of the Ocean-Atmosphere Coupled Model

Well-Posedness of the Ocean-Atmosphere Coupled Model

Year:    2025

Author:    Ruxu Lian, Jieqiong Ma, Jiangbo Jin, Qingcun Zeng

CSIAM Transactions on Applied Mathematics, Vol. 6 (2025), Iss. 2 : pp. 320–349

Abstract

In this work, we consider the dynamic framework of the ocean-atmosphere (O-A) coupled model with physical boundary conditions at the ocean-atmosphere interface, and this coupled model can be viewed as atmosphere general circulation model coupled with ocean general circulation model. As the initial data and boundary conditions are assumed to meet certain assumptions, by taking advantage of energy estimates method and compactness arguments, we addressed the existence and stability of global weak solutions, the existence and uniqueness of global strong solution to the O-A coupled model.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/csiam-am.SO-2022-0023

CSIAM Transactions on Applied Mathematics, Vol. 6 (2025), Iss. 2 : pp. 320–349

Published online:    2025-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    30

Keywords:    Ocean-atmosphere coupled model weak solutions strong solution well-posedness physical boundary conditions

Author Details

Ruxu Lian

Jieqiong Ma

Jiangbo Jin

Qingcun Zeng