Pure gravity traveling quasi‐periodic water waves with constant vorticity
Massimiliano Berti, Luca Franzoi, Alberto Maspero
Source abstract
Abstract We prove the existence of small amplitude time quasi‐periodic solutions of the pure gravity water waves equations with constant vorticity , for a bidimensional fluid over a flat bottom delimited by a space periodic free interface. Using a Nash‐Moser implicit function iterative scheme we construct traveling nonlinear waves which pass through each other slightly deforming and retaining forever a quasiperiodic structure. These solutions exist for any fixed value of depth and gravity and restricting the vorticity parameter to a Borel set of asymptotically full Lebesgue measure.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.