Title | Traveling Quasi-periodic Water Waves with Constant Vorticity |
Publication Type | Journal Article |
Year of Publication | 2021 |
Authors | Berti, M, Franzoi, L, Maspero, A |
Volume | 240 |
Issue | 1 |
Pagination | 99 - 202 |
Date Published | 2021/04/01 |
ISBN Number | 1432-0673 |
Abstract | We prove the first bifurcation result of time quasi-periodic traveling wave solutions for space periodic water waves with vorticity. In particular, we prove the existence of small amplitude time quasi-periodic solutions of the gravity-capillary water waves equations with constant vorticity, for a bidimensional fluid over a flat bottom delimited by a space-periodic free interface. These quasi-periodic solutions exist for all the values of depth, gravity and vorticity, and restrict the surface tension to a Borel set of asymptotically full Lebesgue measure. |
URL | https://doi.org/10.1007/s00205-021-01607-w |
Short Title | Archive for Rational Mechanics and Analysis |
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