15 citations · 55 across the 25 of their papers we have counts for
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math-ph2012★ 3 cited
No steady water waves of small amplitude are supported by a shear flow with still free surface
Vladimir Kozlov, Nikolay Kuznetsov
The two-dimensional free-boundary problem describing steady gravity waves with vorticity on water of finite depth is considered. It is proved that no small-amplitude waves are supp…
math-ph2012★ 1 cited
Dispersion equation for water waves with vorticity and Stokes waves on flows with counter-currents
Vladimir Kozlov, Nikolay Kuznetsov
The two-dimensional free-boundary problem of steady periodic waves with vorticity is considered for water of finite depth. We investigate how flows with small-amplitude Stokes wave…
math.SP2012
Domain dependence of eigenvalues of elliptic type operators
Vladimir Kozlov
The dependence on the domain is studied for the Dirichlet eigenvalues of an elliptic operator considered in bounded domains. Their proximity is measured by a norm of the difference…