15 citations · 59 across the 15 of their papers we have counts for
16 papers
An improved upper bound for the Froude number of irrotational solitary water waves
Evgeniy Lokharu, Jörg Weber
A classical and central problem in the theory of water waves is to classify parameter regimes for which non-trivial solitary waves exist. In the two-dimensional, irrotational, pure…
On the vorticity threshold for steady water waves
Evgeniy Lokharu, Miles H. Wheeler
One of the most striking features of two-dimensional steady water waves with adverse vorticity is the emergence of stagnation points in the flow, even along branches of solutions t…
On the amplitude of steady water waves with positive constant vorticity
Evgeniy Lokharu, Erik Wahlén, Jörg Weber
For two-dimensional steady pure-gravity water waves with a unidirectional flow of constant favourable vorticity, we prove an explicit bound on the amplitude of the wave, which deca…
On negative eigenvalues of the spectral problem for water waves of highest amplitude
Vladimir Kozlov, Evgeniy Lokharu
We consider a spectral problem associated with steady water waves of extreme form on the free surface of a rotational flow. It is proved that the spectrum of this problem contains…
An asymptotic behaviour near the crest of waves of extreme form on water of finite depth
Vladimir Kozlov, Evgeniy Lokharu
We prove local higher-order asymptotics for extreme water waves with vorticity near stagnation points. We obtain that the behaviour of solutions and their regularity depend substan…
A sharp version of the Benjamin and Lighthill conjecture for steady waves with vorticity
Evgeniy Lokharu
We prove the Benjamin and Lighthill conjecture for all two-dimensional steady water waves with an arbitrary vorticity distribution. We show that the flow force constant of an arbit…