The primitive equations on the large scale ocean under the small depth hypothesis.
The authors establish the global existence of strong solutions of primitive equations for the large-scale ocean with small depth, which allows to introduce a small parameter (thickness parameter for a thin domain). The existence is proved for a large class of initial data and boundary conditions acting as external forcing. The proof is based on a detailed study of the dependence of a number of classical constants on the thickness of the domain, on a priori energy estimates, and on some functional inequalities.
scientific article; zbMATH DE number 1890729