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Artículo
On the uniqueness of weak solutions of the two-dimensional primitive equations
(Ohio University Press, 2003-01)
The uniqueness of weak solutions of the primitive equations with Dirichlet boundary conditions at the bottom is an open problem even in the two dimensional case. The aim of this paper is to prove the uniqueness of weak ...
Artículo
Asymptotic derivation of a Navier condition for the primitive equations
(IOS Press, 2003-03)
This paper is devoted to the establishment of a friction boundary condition associated with hydrostatic Navier-Stokes equations (also called primitive equations). Usually the Navier boundary condition is used, as a wall ...
Artículo
On the uniqueness and regularity of the Primitive Equations imposing additional anisotropic regularity
(Elsevier, 2005-07)
In this note, we prove that given u a weak solution of the Primitive Equations, imposing an additional condition on the vertical derivative of the velocity u (concretely ∂zu ∈ L∞(0, T;L2(Ω)) ∩ L2(0, T; H1(Ω))), then two ...