Boundary Conditions for an Ocean Related System with a Small Parameter

Abstract : A linear system derived from the Primitive Equations (PEs) of the atmosphere and the ocean is considered. Existence and uniqueness of solutions, behavior as a small viscosity parameter tends to zero are studied for different boundary conditions ; one of the boundary condition is of Dirichlet type and it produces reflections of waves at the boundary, the other one is of transparent type. Computational issues are addressed in a companion paper [RTT04], which also contains more details on the derivation of the system that we study here.
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https://hal.inria.fr/inria-00172515
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Antoine Rousseau, Roger Temam, Joe Tribbia. Boundary Conditions for an Ocean Related System with a Small Parameter. American Mathematical Society, 2005, Contemporary Mathematics, Nonlinear Partial Differential Equations and Related Analysis, 371. ⟨inria-00172515⟩

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