Boundary Conditions for the 2D Linearized PEs of the Ocean in the Absence of Viscosity

Abstract : The linearized Primitive Equations with vanishing viscosity are considered. Some new boundary conditions (of transparent type) are introduced in the context of a modal expansion of the solution which consist of an infinite sequence of integral equations. Applying the linear semi-group theory, existence and uniqueness of solutions is established. The case with nonhomogeneous boundary values, encountered in numerical simulations in limited domains, is also discussed.
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Submitted on : Monday, September 17, 2007 - 1:25:20 PM
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Antoine Rousseau, Roger Temam, Joe Tribbia. Boundary Conditions for the 2D Linearized PEs of the Ocean in the Absence of Viscosity. Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2005, 13 (5), pp.1257--1276. ⟨inria-00172494⟩

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