Kukavica, Igor; Ziane, Mohammed On the regularity of the primitive equations of the ocean. (English) Zbl 1136.35069 Nonlinearity 20, No. 12, 2739-2753 (2007). Summary: 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 [C. Cao and E. S. Titi, Ann. Math. (2) 166, No. 1, 245–267 (2007; Zbl 1151.35074)]. Cited in 1 ReviewCited in 90 Documents MSC: 35Q30 Navier-Stokes equations 76B03 Existence, uniqueness, and regularity theory for incompressible inviscid fluids Keywords:primitive equations of the ocean; Dirichlet boundary condition; Robin boundary condition; bottom topography; regularity Citations:Zbl 1151.35074 PDFBibTeX XMLCite \textit{I. Kukavica} and \textit{M. Ziane}, Nonlinearity 20, No. 12, 2739--2753 (2007; Zbl 1136.35069) Full Text: DOI Link