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An alternative approach to study irrotational periodic gravity water waves.
- Source :
-
Zeitschrift für Angewandte Mathematik und Physik (ZAMP) . Aug2021, Vol. 72 Issue 4, p1-15. 15p. - Publication Year :
- 2021
-
Abstract
- We are concerned here with an analysis of the nonlinear irrotational gravity water wave problem with a free surface over a water flow bounded below by a flat bed. We employ a new formulation involving an expression (called flow force) which contains pressure terms, thus having the potential to handle intricate surface dynamic boundary conditions. The proposed formulation neither requires the graph assumption of the free surface nor does require the absence of stagnation points. By way of this alternative approach we prove the existence of a local curve of solutions to the water wave problem with fixed flow force and more relaxed assumptions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *WATER waves
*GRAVITY waves
*STAGNATION point
*FREE surfaces
*NONLINEAR analysis
Subjects
Details
- Language :
- English
- ISSN :
- 00442275
- Volume :
- 72
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
- Publication Type :
- Academic Journal
- Accession number :
- 151567126
- Full Text :
- https://doi.org/10.1007/s00033-021-01578-8