Water waves: Analytic solutions, uniqueness and continuous dependence on the data
Abstract
This report contains the results of some preliminary work on the water wave problem. The questions of local existence in time of analytic solutions and uniqueness and continuous dependence on the initial data are treated. The object of the work is to provide the analytical foundation on which numerical solutions of the water wave problem can be constructed.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- April 1975
- Bibcode:
- 1975STIN...7532398R
- Keywords:
-
- Analytic Functions;
- Uniqueness Theorem;
- Water Waves;
- Boundary Value Problems;
- Laplace Equation;
- Laplace Transformation;
- Numerical Integration;
- Partial Differential Equations;
- Fluid Mechanics and Heat Transfer