The Linearized 2D Inviscid Shallow Water Equations in a Rectangle: Boundary Conditions and Well-Posedness

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 ${\varphi }_0$ (sub- or super-critical flow at each part of the boundary).

33 pages

Cited by in corpus (1)

• The nonlinear 2D supercritical inviscid shallow water equations in a rectangle