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Abstract
This is a study of two-dimensional steady periodic travelling waves on the surface of an infinitely deep irrotational ocean, when the top streamline is in contact with a membrane which has a nonlinear response to stretching and bending, and the pressure in the air above is constant. It is not supposed that the waves have small amplitude. The problem of existence of such waves is addressed using methods from the calculus of variations. The analysis involves the Hilbert transform and a Riemann-Hilbert formulation.
Original language | English |
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Pages (from-to) | 67-112 |
Number of pages | 46 |
Journal | Journal Fur Die Reine Und Angewandte Mathematik |
Volume | 652 |
DOIs | |
Publication status | Published - Mar 2011 |
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Dive into the research topics of 'Steady periodic water waves under nonlinear elastic membranes'. Together they form a unique fingerprint.Projects
- 1 Finished
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MATHEMATICAL ANALYSIS OF BERNOULLI FREE BOUNDARIES
Engineering and Physical Sciences Research Council
1/10/05 → 31/07/09
Project: Research council