15 citations · 55 across the 25 of their papers we have counts for
4 papers · 1 filter
Floquet Problem and Center Manifold Reduction for Ordinary Differential Operators with Periodic Coefficients in Hilbert Spaces
Vladimir Kozlov, Jari Taskinen
A first order differential equation with a periodic operator coefficient acting in a pair of Hilbert spaces is considered. This setting models both elliptic equations with periodic…
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…
A comparison theorem for nonsmooth nonlinear operators
Vladimir Kozlov, Alexander Nazarov
We prove a comparison theorem for super- and sub-solutions with non-vanishing gradients to semilinear PDEs provided a nonlinearity is function with . The proof is…
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…