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Local existence of solutions to the free boundary value problem for the primitive equations of the ocean
Mihaela Ignatova, Igor Kukavica, Mohammed Ziane
Source 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.
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