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math.AP2019
An existence theory for small-amplitude doubly periodic water waves with vorticity
Evgeniy Lokharu, Douglas Svensson Seth, Erik Wahlén
We prove the existence of three-dimensional steady gravity-capillary waves with vorticity on water of finite depth. The waves are periodic with respect to a given two-dimensional l…
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…