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Volume 6, Issue 2
Well-Posedness of the Ocean-Atmosphere Coupled Model

Ruxu Lian, Jieqiong Ma, Jiangbo Jin & Qingcun Zeng

DOI: 10.4208/csiam-am.SO-2022-0023

CSIAM Trans. Appl. Math., 6 (2025), pp. 320-349.

Published online: 2025-05

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  • 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.

  • Keywords

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

  • AMS Subject Headings

35Q35, 76D03

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CSIAM-AM-6-320, author = {Lian , RuxuMa , JieqiongJin , Jiangbo and Zeng , Qingcun}, title = {Well-Posedness of the Ocean-Atmosphere Coupled Model}, journal = {CSIAM Transactions on Applied Mathematics}, year = {2025}, volume = {6}, number = {2}, pages = {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.

}, issn = {2708-0579}, doi = {https://doi.org/10.4208/csiam-am.SO-2022-0023}, url = {http://global-sci.org/intro/article_detail/csiam-am/24088.html} }
TY - JOUR T1 - Well-Posedness of the Ocean-Atmosphere Coupled Model AU - Lian , Ruxu AU - Ma , Jieqiong AU - Jin , Jiangbo AU - Zeng , Qingcun JO - CSIAM Transactions on Applied Mathematics VL - 2 SP - 320 EP - 349 PY - 2025 DA - 2025/05 SN - 6 DO - http://doi.org/10.4208/csiam-am.SO-2022-0023 UR - https://global-sci.org/intro/article_detail/csiam-am/24088.html KW - Ocean-atmosphere coupled model, weak solutions, strong solution, well-posedness, physical boundary conditions AB -

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.

Lian , RuxuMa , JieqiongJin , Jiangbo and Zeng , Qingcun. (2025). Well-Posedness of the Ocean-Atmosphere Coupled Model. CSIAM Transactions on Applied Mathematics. 6 (2). 320-349. doi:10.4208/csiam-am.SO-2022-0023
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