26 citations · 36 across the 8 of their papers we have counts for
11 papers
Spectra of Dirichlet Laplacian in 3-dimensional polyhedral layers
Fedor Bakharev, Sergey Matveenko
The structure of the spectrum of the three-dimensional Dirichlet Laplacian in the 3D polyhedral layer of fixed width is studied. It appears that the essential spectrum is defined b…
Impact of dissipation ratio on vanishing viscosity solutions of the Riemann problem for chemical flooding model
F. Bakharev, A. Enin, Yu. Petrova +1
The solutions for a Riemann problem arising in chemical flooding models are studied using vanishing viscosity as an admissibility criterion. We show that when the flow function dep…
Existence of the discrete spectrum in the Fichera layers and crosses of arbitrary dimension
F. L. Bakharev, A. I. Nazarov
We describe the Dirichlet spectrum structure for the Fichera layers and crosses in any dimension . Also the application of the obtained results to the classical Brownian exi…
Geometrically induced spectral effects in tubes with a mixed Dirichlet-Neumann boundary
Fedor L. Bakharev, Pavel Exner
We investigate spectral properties of the Laplacian in , where is a tubular region in of a fixed cross section, and the boundary conditions combined a Di…
Criteria for the Absence and Existence of Bounded Solutions at the Threshold Frequency in a Junction of Quantum Waveguides
Fedor L. Bakharev, Sergei A. Nazarov
In the junction of several semi-infinite cylindrical waveguides we consider the Dirichlet Laplacian whose continuous spectrum is the ray with a positive…
Examples of Plentiful Discrete Spectra in0 Infinite Spatial Cruciform Quantum Waveguides
F. L. Bakharev, S. G. Matveenko, S. A. Nazarov
Spatial cruciform quantum waveguides (the Dirichlet problem for Laplace operator) are constructed such that the total multiplicity of the discrete spectrum exceeds any preassigned…