Regularity results for the Primitive Equations of the ocean

Details Regularity results for the Primitive Equations of the ocean Regularity results for the Primitive Equations of the ocean

2008-04-06

arxiv.org/abs/0804.0905v1

Asymptotic Analysis, vol 50, issue 3,4, pages 293-324, 2006

Mathematics

Analysis of PDEs

36 pages

Scientific paper

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.

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