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Existence et unicité d’un problème de mécanique des fluides intervenant en océanographie physique. (Existence and uniqueness of a fluid-mechanics problem in physical oceanography). (French. Abridged English version) Zbl 0735.76026
Summary: We present in this work the conditions of existence, uniqueness and regularity of the solutions of a nonlinear nonstationary two-dimensional oceanographic problem. The essential point for modelling is to determine the existence conditions of solutions for \(t\in \mathbb{R}^ +\) that converge to the stationary solution. The equations in this model differ from the Navier-Stokes equations in the boundary conditions and the mass- conservation equation. [See also P. Bisgambiglia and P. Orenga, ibid. 313, No. 9, 627-630 (1991; Zbl 0735.76049)].

76D99 Incompressible viscous fluids
35Q35 PDEs in connection with fluid mechanics