15 citations · 55 across the 25 of their papers we have counts for
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On the first bifurcation of Stokes waves
Vladimir Kozlov
We consider Stokes water waves on the vorticity flow in a two-dimensional channel of finite depth. In the paper "V.Kozlov, On first subharmonic bifurcations in a branch of Stokes w…
On first subharmonic bifurcations in a branch of Stokes waves
Vladimir Kozlov
Steady surface waves in a two-dimensional channel are considered. We study bifurcations, which occur on a branch of Stokes water waves starting from a uniform stream solution. Two…
On loops in water wave branches and monotonicity of water waves
Vladimir Kozlov
We give a quite simple approach how to prove the absence of loops in bifurcation branches of water waves in rotational case with arbitrary vorticity distribution. The supporting fl…
The subharmonic bifurcation of Stokes waves on vorticity flow
Vladimir Kozlov
We consider a family of Stokes waves on vorticity flow parameterized by a parameter. For large value of the parameter the Stokes waves approach the Stokes extreme wave. We prove th…
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…