The Linearized 2D Inviscid Shallow Water Equations in a Rectangle: Boundary Conditions and Well-Posedness |
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| Authors: | Aimin Huang Roger Temam |
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| Affiliation: | 1. Department of Mathematics, Indiana University Bloomington, 831 East Third Street, Rawles Hall, Bloomington, IN, 47405, USA
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| Abstract: | We consider the linearized 2D inviscid shallow water equations in a rectangle. A set of boundary conditions is proposed which make these equations well-posed. Several different cases occur depending on the relative values of the reference velocities (u 0, v 0) and reference height ${phi_0}$ (sub- or super-critical flow at each part of the boundary). |
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