122 citations
- Russian Academy of SciencesRU6 papers
- Lomonosov Moscow State UniversityRU2 papers
- Moscow Institute of Physics and TechnologyRU2 papers
- University of SaskatchewanCA2 papers
- Dartmouth CollegeUS1 paper
- Institute of ElectronicsBG1 paper
- Joint Institute for Laboratory AstrophysicsUS1 paper
- Princeton UniversityUS1 paper
- Radboud Institute for Molecular Life SciencesNL1 paper
- Radboud University Medical CenterNL1 paper
- Radboud University NijmegenNL1 paper
- Ruhr University BochumDE1 paper
4 papers · 1 filter
On the dynamics of internal waves propagating in stratified media of a variable depth: exact and asymptotic solutions
Vitaly V. Bulatov, Yuriy V. Vladimirov
The dynamics of internal waves in stratified media, such as the ocean or atmosphere, is highly dependent on the topography of their floor. A closed-form analytical solution can be…
Fundamental problems of modeling the dynamics of internal gravity waves with applications to the Arctic Basin
Vitaly V. Bulatov, Yuriy V. Vladimirov
In this paper, we consider fundamental problems of the dynamics of internal gravity waves. We present analytical and numerical algorithms for calculating the wave fields for a set…
The Aharonov-Bohm effect for massless Dirac fermions and the spectral flow of Dirac type operators with classical boundary conditions
M. I. Katsnelson, V. E. Nazaikinskii
We compute, in topological terms, the spectral flow of an arbitrary family of self-adjoint Dirac type operators with classical (local) boundary conditions on a compact Riemannian m…
Functions of noncommuting operators in an asymptotic problem for a 2D wave equation with variable velocity and localized right-hand side
S. Dobrokhotov, D. Minenkov, V. Nazaikinskii +1
We use the theory of functions of noncommuting operators (noncommutative analysis) to solve an asymptotic problem for a partial differential equation and show how, starting from ge…