15 citations · 55 across the 25 of their papers we have counts for
4 papers · 1 filter
A comparison theorem for super- and subsolutions of and its application to water waves with vorticity
Vladimir Kozlov, Nikolay Kuznetsov
A comparison theorem is proved for a pair of solutions that satisfy in a weak sense opposite differential inequalities with nonlinearity of the form with belonging to t…
A two dimensional model of curvilinear blood vessels with layered elastic walls
Arpan Ghosh, Vladimir Kozlov, Sergey Nazarov +1
We present a two dimensional model describing the elastic behaviour of the wall of a curved blood vessel. The wall has a laminate structure consisting of several anisotropic layers…
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…