V Duchêne - arXiv preprint arXiv:2203.11340, 2022 - arxiv.org
This document is an announcement and preview of a memoir whose full version is available on the Open Math Notes repository of the American Mathematical Society (OMN …
Two methods to treat wave breaking in the framework of the Hamiltonian formulation of free- surface potential flow are presented, tested, and validated. The first is an extension of …
Hamiltonian variational principles have provided, since the 1960s, the means of developing very successful wave theories for nonlinear free-surface flows, under the assumption of …
The Hamiltonian coupled-mode theory (HCMT), recently derived by Athanassoulis and Papoutsellis [Proceeding of 34th International Conference on Ocean Offshore Arctic …
Over the last few decades, the study of water waves is becoming relevant for more applications, surpassing their traditional study regarding ships and coastal structures and …
In the present thesis, we investigate the application of certain asymptotic and variational methods to the classical water-wave problem, when the assumptions of weak nonlinearity …