Regularity results for the Primitive Equations of the ocean

Article type: Research Article

Authors: Nodet, Maëlle

Affiliations: Laboratoire de Modélisation et de Calcul, Université Joseph Fourier Grenoble 1, CNRS, 51 rue des Mathématiques, BP53, 38041 Grenoble cedex 9, France E-mail: [email protected]

Abstract: We consider the linear Primitive Equations of the ocean in the three-dimensional space, with horizontal periodic and vertical Dirichlet boundary conditions. Thanks to Fourier transforms we are able to calculate explicitly the pressure term. We then state existence, unicity and regularity results for the linear time-depending Primitive Equations, with low-regularity right-hand side.

Journal: Asymptotic Analysis, vol. 50, no. 3-4, pp. 293-324, 2006