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. 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
2.
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, “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, “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 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. M. Meshkova, “On the Homogenization of Periodic Hyperbolic Systems”, Math. Notes, 105:6 (2019), 929–934
2020
8.
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
2018
9.
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
2017
10.
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
11.
Yu. Meshkova, T. Suslina, Homogenization of the Dirichlet problem for elliptic systems: Two-parametric error estimates, 2017 (Published online) , 45 pp., arXiv: 1702.00550
2016
12.
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, 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 Solutions of Initial Boundary Value Problems for Parabolic Systems”, Funct. Anal. Appl., 49:1 (2015), 72–76
2014
15.
Yu. M. Meshkova, “Homogenization of the Cauchy problem for parabolic systems with periodic coefficients”, St. Petersburg Math. J., 25:6 (2014), 981–1019
2023
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