On the regularity of the primitive equations of the ocean

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Published 30 October 2007 • 2007 IOP Publishing Ltd and London Mathematical Society
, , Citation Igor Kukavica and Mohammed Ziane 2007 Nonlinearity 20 2739 DOI 10.1088/0951-7715/20/12/001

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1 Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA

Dates

  1. Received 29 January 2007
  2. Published

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0951-7715/20/12/2739

Abstract

We prove the existence of global strong solutions of the primitive equations of the ocean in the case of the Dirichlet boundary conditions on the side and the bottom boundaries including the varying bottom topography. Previously, the existence of global strong solutions was known in the case of the Neumann boundary conditions in a cylindrical domain (Cao and Titi 2007 Ann. Math. 166 245–67).

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