15 citations · 55 across the 25 of their papers we have counts for
8 papers · 1 filter
Solitary waves on rotational flows with an interior stagnation point
Vladimir Kozlov, Nikolai G. Kuznetsov, Evgeniy Lokharu
The two-dimensional free-boundary problem describing steady gravity waves with vorticity on water of finite depth is considered. Under the assumption that the vorticity is a negati…
Trapped modes in armchair graphene nanoribbons
V. A. Kozlov, S. A. Nazarov, A. Orlof
We study scattering on an ultra-low potential in armchair graphene nanoribbon. Using the continuous Dirac model and including a couple of artificial waves in the scattering process…
Trapped modes in zigzag graphene nanoribbons
V. A. Kozlov, S. A. Nazarov, A. Orlof
We study a scattering on an ultra-low potential in zigzag graphene nanoribbon. Using mathematical framework based on the continuous Dirac model and augumented scattering matrix, we…
Small-amplitude steady water waves with critical layers: non-symmetric waves
Evgeniy Lokharu, Vladimir Kozlov
The problem for two-dimensional steady water waves with vorticity is considered. Using methods of spatial dynamics, we reduce the problem to a finite dimensional Hamiltonian system…
Bounds for solutions to the problem of steady water waves with vorticity
Vladimir Kozlov, Nikolay Kuznetsov
The two-dimensional free-boundary problem describing steady gravity waves with vorticity on water of finite depth is considered. Bounds for stream functions as well as free-surface…
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…