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math-ph2020
Nonexistence of steady waves with negative vorticity
Evgeniy Lokharu
We prove that no two-dimensional Stokes and solitary waves exist when the vorticity function is negative and the Bernoulli constant is greater than a certain critical value given e…
math-ph2019
Solitary waves on rotational flows with an interior stagnation point
Vladimir Kozlov, Nikolai G. Kuznetsov, Evgeniy Lokharu
The two-dimensional free-boundary problem describing steady gravity waves with vorticity on water of finite depth is considered. Under the assumption that the vorticity is a negati…
math-ph2018
A variational principle for three-dimensional water waves over Beltrami flows
Evgeniy Lokharu, Erik Wahlén
We consider steady three-dimensional gravity-capillary water waves with vorticity propagating on water of finite depth. We prove a variational principle for doubly periodic waves w…