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

Lions, Temam, and Wang in [Probleme a frontiere libre pour les modeles couples de l'ocean et de l'atmosphere, 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. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4753991]