The 2d nonlinear fully hyperbolic inviscid shallow water equations in a rectangle (Q282367)

From the authors' abstract: In this paper the authors continue their study of the inviscid shallow water equations (SWE) in a rectangle. Including a series of earlier works [the authors et al., Arch. Ration. Mech. Anal. 211, No. 3, 1027--1063 (2014; Zbl 1293.35247); Commun. Pure Appl. Anal. 13, No. 5, 2005--2038 (2014; Zbl 1310.76015); the authors and \textit{M. Petcu}, Asymptotic Anal. 93, No. 3, 187--218 (2015; Zbl 1326.35275)] the authors continue here and study subcritical flows in a rectangle which raises the additional issue of the compatibility of the boundary and initial conditions at \(t=0\) and of the boundary conditions between them at the corners of the rectangle.