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