Steady periodic water waves under nonlinear elastic membranes
Baldi, P. and Toland, J. F., 2011. Steady periodic water waves under nonlinear elastic membranes. Journal Fur Die Reine Und Angewandte Mathematik, 652, pp. 67-112.
Related documents:This repository does not currently have the full-text of this item.
You may be able to access a copy if URLs are provided below. (Contact Author)
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.
|Creators||Baldi, P.and Toland, J. F.|
|Departments||Faculty of Science > Mathematical Sciences|
Actions (login required)