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Fedor L. Bakharev
Fedor L. Bakharev
Senior Researcher

fbakharev@yandex.ru


Education

09.2006 Candidate of Sciences (PhD) in Mathematics (PDMI)

06.2003 Specialist degree in Mathematics (SPbU)


Scientific interests

  • functional analysis;
  • spectral theory;
  • wave propagation;

Publications

14 F. Bakharev, A. Enin, A. Groman, A. Kalyuzhnuk , S. Matveenko, Yu. Petrova, I.Starkov, S. Tikhomirov, Velocity of viscous fingers in miscible displacement; preprint (2020).
13 Bakharev F.L., Nazarov A.I., Existence of the discrete spectrum in the Fichera layers and crosses of arbitrary dimension; preprint (2020).
12 Bakharev F.L. , Nazarov S.A., The Discrete Spectrum of an Infinite Kirchhoff Plate in the Form of a Locally Perturbed Strip, Siberian Mathematical Journal, 61:2 (2020), 233–247.
11 Bakharev F., Campoli L., Enin A., Matveenko S., Petrova Y., Tikhomirov S., Yakovlev A., Numerical investigation of viscous fingering phenomenon for raw field data, Transport in porous media, 2020, p. 1-22.
10 Bakharev F.L., Perez M.E., Spectral gaps for the Dirichlet-Laplacian in a 3-D waveguide periodically perturbed by a family of concentrated masses, Mathematische Nachrichten, 291:4 (2018), 556-575.
9 Bakharev F.L., Taskinen J., Bands in the spectrum of a periodic elastic waveguide, Zeitschrift fur angewandte Mathematik und Physik, 68:102 (2017); preprint (2016). ,
8 Bakharev F.L., Cardone G., Nazarov S.A., Taskinen J., Effects of Rayleigh waves on the essential spectrum in perturbed doubly periodic elliptic problems, Integral Equations and Operator Theory, 88:3 (2017), 373-386; preprint (2016).
7 Bakharev F.L., Matveenko S.G., Nazarov S.A., Examples of Plentiful Discrete Spectra in Infinite Spatial Cruciform Quantum Waveguides, Zeitschrift fur Analysis und ihre Anwendungen, 36:3 (2017), 329-341; preprint (2016).
6 Bakharev F.L., Nazarov S.A., Open Waveguides In Double Periodic Junctions Of Domains With Different Limit Dimensions, Siberian Mathematical Journal, 57:6 (2016), 943-956.
5 Bakharev F.L., Nazarov S.A., Gaps in the spectrum of a waveguide composed of domains with different limiting dimensions, Siberian Mathematical Journal, 56:4 (2015), 575-­592.
4 Bakharev F.L., Matveenko S.G., Nazarov S.A., Spectra of three-dimensional cruciform and lattice quantum waveguides, Doklady Mathematics, 92:1 (2015), 514­-518.
3 Fedor Bakharev , Keijo Ruotsalainen, Jari Taskinen, Spectral gaps for the linear surface wave model in periodic channels, The Quarterly Journal of Mechanics and Applied Mathematics, 67:3 (2014), 343-362; preprint (2012).
2 Bakharev F.L., Nazarov S.A., Ruotsalainen K.M., A gap in the spectrum of the Neumann–Laplacian on a periodic waveguide, Applicable Analysis: An International Journal, 92:9 (2013), 1889-1915; preprint (2011).
1 Bakharev F.L., Nazarov S.A., Sweers G.H., A sufficient condition for a discrete spectrum of the Kirchhoff plate with an infinite peak, Mathematics and Mechanics of Complex Systems, 1:2 (2013), 233-247; preprint (2012).