15 citations · 55 across the 25 of their papers we have counts for
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math.AP2022★ 3 cited
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…
math.NA2022★ 1 cited
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…
math.AP2022★ 2 cited
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…