Local energy decay of solutions of linearized shallow water equations
Abstract
The local decay of the energy of the solution to a mixed initial boundary value problem is proved for the linearized shallow water equations with constant coefficients, where the domain is a half plane, a certain dissipative boundary condition is prescribed and the initial data have compact support contained in the open half plane.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 May 1980
 Bibcode:
 1980STIN...8125329G
 Keywords:

 Boundary Value Problems;
 Energy Dissipation;
 Shallow Water;
 Wave Equations;
 Boundary Conditions;
 Eigenvalues;
 Green'S Functions;
 Singularity (Mathematics);
 Theorem Proving;
 Fluid Mechanics and Heat Transfer