Nonlinear periodic capillary-gravity waves on a fluid of finite depth
| Autor: | Richard Barakat, Agnes Houston |
|---|---|
| Rok vydání: | 1968 |
| Předmět: |
Physics
Atmospheric Science Ecology Capillary action Gravitational wave Paleontology Soil Science Perturbation (astronomy) Forestry Aquatic Science Oceanography law.invention Nonlinear system Geophysics Invertible matrix Classical mechanics Fourth order Space and Planetary Science Geochemistry and Petrology law Earth and Planetary Sciences (miscellaneous) Wavenumber Gravitational singularity Earth-Surface Processes Water Science and Technology |
| Zdroj: | Journal of Geophysical Research. 73:6545-6554 |
| ISSN: | 0148-0227 |
| Popis: | Periodic capillary-gravity waves on a fluid of finite depth are studied theoretically by using various perturbation schemes. The classical perturbation scheme is utilized to obtain the wave profile up to and including the fourth order of approximation. The classical perturbation scheme possesses singularities for certain wave numbers, and Wilton's analysis for this situation is generalized to include finite depth. In the vicinity of the singular wave numbers, the method of strained coordinates as initiated by Pierson and Fife for infinite depth is extended to finite depth. Finally, short-crested waves are studied for the nonsingular case. |
| Databáze: | OpenAIRE |
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