Abstract:
We consider three-dimensional doubly periodic steady water waves with vorticity, under the action of gravity and surface tension; in particular, we consider Beltrami flows, for which the velocity field and the vorticity are collinear. The domain of the fluid has finite depth, and the pattern of the waves is non-symmetric with respect to their direction of propagation.
We present two formulations of the problem: one which involves a generalisation of the classical Dirichlet–Neumann operator, and one as a single-equation for the wave profile. As an application, we prove existence of doubly periodic gravity-capillary steady waves and construct approximate doubly periodic gravity steady waves. Small-divisors issues related to the existence of pure gravity steady waves will also be discussed.
This is a joint work with M. Groves (Universität des Saarlandes), D. Nilsson (Mid Sweden University) and E. Wahlén (Lund University).
Il seminario avrà luogo presso il blocco aule del Dipartimento di Matematica e Fisica, Lungotevere Dante 376 - Aula M6
This post is also available in:
Link identifier #identifier__161158-5
Eng