Yulia M. Meshkova

IMG_8900

email: y.meshkova@spbu.ru
PhD student since 2014.

Scientific supervisor: T. A. Suslina, Doctor of Science.

 Directions of research

  • spectral theory of operators,
  • homogenization theory for periodic differential operators.

 PhD research topic:

Operator error estimates for homogenization of differential operators with periodic coefficients.

Basic Research papers

  1. Meshkova Yu. M., Homogenization of the Cauchy problem for parabolic systems with periodic coefficients, Algebra i Analiz, 25:6 (2013), 125–177. English transl.: St. Petersburg Mathematical Journal, 2014, 25:6, 981–1019.
  2. Meshkova Yu. M., Suslina T. A., Homogenization of Solutions of Initial Boundary Value Problems for Parabolic Systems, Funktsional. Anal. i Prilozhen., 49:1 (2015), 88–93. English transl.: Functional Analysis and Its Applications, 2015, 49:1, 72–76.
  3. Meshkova Yu. M., Suslina T. A., Two-parametric error estimates in homogenization of second-order elliptic systems in R^d, Applicable Analysis, 95:7 (2016), 1413-1448.
  4. Meshkova Yu. M., Suslina T. A., Homogenization of initial boundary value problems for parabolic systems with periodic coefficients, Applicable Analysis, 95:8 (2016), 1736-1775.
  5. Meshkova Yu. M., Suslina T. A., Homogenization of the Dirichlet problem for elliptic and parabolic systems with periodic coefficients, Funktsional. Anal. i Prilozhen., 51:3 (2017), 87–93. . English transl.: Functional Analysis and Its Applications, 51:3 (2017), 230–235
  6. Meshkova Yu. M., Suslina T. A., Homogenization of the first initial boundary value problem for parabolic systems: Operator error estimates, Algebra i Analiz, 29:6 (2017), 99–158. English transl.: St. Petersburg Mathematical Journal, 2018, 29:6, to appear.
  7. Meshkova Yu. M., Suslina T. A., Homogenization of the Dirichlet problem for elliptic systems: Two-parametric error estimates, arXiv:1702.00550.
  8. Meshkova Yu. M., On operator error estimates for homogenization of hyperbolic systems with periodic coefficients, arXiv:1705.02531.

Grants and Awards:

  1. 2015-2016 — Russian Government scholarship to PhD students in priority areas of modernization and technological development of Russian economy.
  2. 2016 – Rokhlin grant for Young Mathematicians.
  3. 2016-2017 — grant for young mathematicians from «Dynasty» foundation.
  4. 2017-2018 — Scholarship of the President of the Russian Federation to PhD students in priority areas of modernization and technological development of Russian economy.

Additional information:

I have a research position in The Chebyshev Laboratory (www.chebyshev.spb.ru), Mathematics and Mechanics Faculty, SPbSU, since December 2013.

CV

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