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Fedor L. Bakharev
Fedor L. Bakharev
Senior Researcher

f.bakharev@spbu.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;

Additional Information

fbakharev@yandex.ru


Publications

19 Bakharev F.L., Matveenko S.G., Localization of Eigenfunctions in a Narrow Kirchhoff Plate, Russian Journal of Mathematical Physics, 28:2 (2021), 156–78.
18 Tikhomirov S., Bakharev F., Groman A., Kalyuzhnyuk A., Petrova Y., Enin A., Kalinin K., Rastegaev N., Calculation of graded viscosity banks profile on the rear end of the polymer slug, Society of Petroleum Engineers - SPE Russian Petroleum Technology Conference 2021, RPTC 2021 (2021).
17 Bakharev F., Enin A., Petrova Y., Rastegaev N., Impact of dissipation ratio on vanishing viscosity solutions of the Riemann problem for chemical flooding model; preprint (2021).
16 F. Bakharev, A. Enin, A. Groman, A. Kalyuzhnuk , S. Matveenko, Yu. Petrova, I.Starkov, S. Tikhomirov, Velocity of viscous fingers in miscible displacement, Journal of Computational and Applied Mathematics, 402 (2022), 113808; preprint (2020).
15 Bakharev F.L., Nazarov A.I., Existence of the discrete spectrum in the Fichera layers and crosses of arbitrary dimension, Journal of Functional Analysis, 281:4 (2021), 109071; preprint (2020).
14 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.
13 Bakharev F., Enin A., Kalinin K., Petrova Y., Rastegaev N., Tikhomirov S., Optimal polymer slugs injection profiles; preprint (2020).
12 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.
11 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.
10 Bakharev F.L., Nazarov S.A., Criteria for the Absence and Existence of Bounded Solutions at the Threshold Frequency in a Junction of Quantum Waveguides, St. Petersburg Mathematical Journal, 32:6 (2021), 955–973; preprint (2017).
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).