2008–2018. Student (BA and MA with distinction, PhD) at the Department of Physics, St. Petersburg State University. Superviser: Tatiana Suslina.
2013–2019. Researcher at Chebyshev Laboratory, St. Petersburg State University.
2019. Visited the Mittag-Leffler Institute (Stockholm, Sweden) and the Hausdorff Research Institute for Mathematics (Bonn, Germany).
2020. Worked at the University of Helsinki (Finland) as a postdoctoral researcher. Visited the Simons Center for Geometry and Physics (Stony Brook, NY, USA).
Yu. M. Meshkova, T. A. Suslina, “Homogenization of initial boundary value problems for parabolic systems with periodic coefficients”, Applicable Analysis, 95:8 (2016), 1736-1775 , arXiv: 1503.05892
Yu. M. Meshkova, “On operator error estimates for homogenization of hyperbolic systems with periodic coefficients”, Journal of Spectral Theory, 11:2 (2021), 587–660 https://www.ems-ph.org/journals/show_abstract.php?issn=1664-039X&vol=11&iss=2&rank=6, arXiv: 1705.02531
Yu. M. Meshkova, “On the Homogenization of Periodic Hyperbolic Systems”, Math. Notes, 105:6 (2019), 929–934
4.
Yu. M. Meshkova, “Homogenization of the Cauchy problem for parabolic systems with periodic coefficients”, St. Petersburg Math. J., 25:6 (2014), 981–1019
5.
Yu. M. Meshkova, T. A. Suslina, “Homogenization of Solutions of Initial Boundary Value Problems for Parabolic Systems”, Funct. Anal. Appl., 49:1 (2015), 72–76
6.
Yu. M. Meshkova, T. A. Suslina, “Homogenization of the first initial boundary value problem for parabolic systems: Operator error estimates”, St. Petersburg Math. J., 29:6 (2018), 935–978
7.
Yu. M. Meshkova, T. A. Suslina, “Two-parametric error estimates in homogenization of second-order elliptic systems in $\mathbb{R}^d$”, Applicable Analysis, 95:7 (2016), 1413–1448 , arXiv: 1509.01850
Yu. M. Meshkova, T. A. Suslina, “Homogenization of the Dirichlet problem for elliptic and parabolic systems with periodic coefficients”, Funct. Anal. Appl., 51:3 (2017), 230–235
9.
Yu. M. Meshkova, “On homogenization of the first initial-boundary value problem for periodic hyperbolic systems”, Applicable Analysis, 99:9 (2020), 1528–1563 https://www.tandfonline.com/doi/abs/10.1080/00036811.2018.1540038?journalCode=gapa20, arXiv: 1807.03634
Yu. Meshkova, “Note on quantitative homogenization results for parabolic systems in $\mathbb{R}^d$”, Journal of Evolution Equations, 21:1 (2021), 763–769 http://link.springer.com/article/10.1007/s00028-020-00600-2, arXiv: 1912.12547
Yu. M. Meshkova, “Homogenization of periodic parabolic systems in the $ L_2(\mathbb{R}^d)$-norm with the corrector taken into account”, St. Petersburg Math. J., 31:4 (2020), 675–718
12.
Yu. Meshkova, “Variations on the theme of the Trotter-Kato theorem for homogenization of periodic hyperbolic systems”, Russian Journal of Mathematical Physics, 30:4 (2023), 561–598 , arXiv: 1904.02781
13.
Yu. Meshkova, Homogenization of the first initial-boundary value problem for periodic hyperbolic systems. Principal term of approximation, 2023 (Published online) , 17 pp., arXiv: 2312.15887
Yu. Meshkova, T. Suslina, Homogenization of the Dirichlet problem for elliptic systems: Two-parametric error estimates, 2017 (Published online) , 45 pp., arXiv: 1702.00550
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