15 citations · 55 across the 25 of their papers we have counts for
31 papers
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…
Robin-Dirichlet alternating iterative procedure for solving the Cauchy problem for Helmholtz equation in an unbounded domain
Pauline Achieng, Fredrik Berntsson, Vladimir Kozlov
We consider the Cauchy problem for the Helmholtz equation with a domain in R^d, d>2 with N cylindrical outlets to infinity with bounded inclusions in R^{d-1}. Cauchy data are presc…
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…