In this paper, we study inviscid shallow-water equations in a domain on a rotating sphere, in which advection terms are omitted and the nonlinear force of bottom friction is taken into account. We prove the existence and uniqueness of the solution and the continuity of the resolving operator. Then we study the solvability of the basic and adjoint linear systems.
Print ISSN: 0927-6467
Volume: 20, 02/2005
Pages: 67 - 79