Науково-педагогічний персонал

Fastovska Tamara Borysivna

Кандидат фізико-математичних наук, доцент, доцент зво кафедри фундаментальної математики. PhD, associate professor

  • Коректна розвязність нелінійних рівнянь з частинними похідними

  • Якісна поведінка розв’язків рівнянь з частинними похідними, атрактори динамічних систем, сингулярні границі
  • Варіаційні методи та задачі мінімізації, гамма-збіжність
  • Задачі пружності матеріалів, взаємодії рідини з твердими тілами, фазових переходів, формування патернів

Посилання на сторінки в наукових мережах:

English version

  • Well-posedness of nonlinear PDEs
  • Qualitative properties of solutions to PDEs, e.g. attractors, singular limits, etc
  • Variational methods for  minimization problems, e.g. Gamma-convergence, scaling laws, dimension reduction
  • Materials Science: elasticity, fluid-structure interactions, phase transitions, pattern formation

В Харківському національному університеті ім. В.Н. Каразіна

  1. Рівняння математичної фізики
  2. Математична статистика
  3. Теорія ймовірностей
  4. Математичний аналіз
  5. Функціональний  аналіз
  6. Теорія операторів
  7. Динамічні системи
  8. Варіаційні методи математичної фізики
  9. Еліптичні задачі
  10. Простори Соболєва
  11. Узагальнені функції
  12. Інтерполяційні простори

В Humboldt University of Berlin

Семінар з прикладного аналізу:  Гамма-збіжність та застосування, 2023 https://moodle.hu-berlin.de/enrol/index.php?id=119802

English version

At V.N. Karazin  Kharkiv National University

  1. Partial Differential Equations
  2. Mathematical Statistics
  3. Probability Theory
  4. Functional Analysis
  5. Operator Theory
  6. Dynamical Systems
  7. Variational Methods of Mathematical Physics
  8. Elliptic Problems
  9. Sobolev Spaces
  10. Distribution Theory
  11. Interpolation Theory

At Humboldt University of Berlin

Seminar on Applied Analysis: Gamma-Convergence  and Applications, 2023 https://moodle.hu-berlin.de/course/view.php?id=119802

2024-2025: Einstein Foundation (Berlin) Research Freedom grant

2022-2023: International Research Project grant „Dynamic Problems in Elasticity“ funded by Volkswagen Foundation, Germany

2020-2022: International Research Project grant „From Modeling to Analysis and Approximation“ funded by Volkswagen Foundation, Germany

2016-2019: International Research Project grant „Modeling, Analysis, and Approximation  Theory toward Applications in Tomography and Inverse Problems“ funded by Volkswagen Foundation, Germany

2026  T.  Fastovska, D. Langemann, On the asymptotic properties of solutions to a nonlinear transmission problem for a Bresse beam with thermal damping, Evolution Equations and Control Theory, Vol. 18, 2026, 208-254, https://doi.org/10.3934/eect.2026002

2025    T. Fastovska, J. Ginster and B. Zwicknagl, Derivation of Mindlin-Timoshenko model from nonlinear elasticity (2025), https://doi.org/10.48550/arXiv.2508.08834

2024    T.  Fastovska, D. Langemann, I. Ryzhkova. Qualitative properties of solutions to a nonlinear transmission problem for an elastic Bresse beam, Front. Appl. Math. Stat 10:1418656, 2024, https://doi.org/10.3389/fams.2024.1418656

2023    T.  Fastovska. Global attractors for a full von Karman beam transmission problem. Communications on Pure and Applied Analysis, 2023, 22(4), 1120-1158. https://doi.org/10.3934/cpaa.2023022

2019    I. Chueshov , T. Fastovska, I. Ryzhkova, Quasistability method in study of   asymptotical behaviour of dynamical systems, J. Math. Phys. Anal. Geom. 15, no 4, 448–501.

2018    T. Fastovska, Long-time behaviour of a radially symmetric fluid-shell interaction System, Discrete and Continuous Dynamical Systems A  38, 1315-1348

2018      T. Fastovska, Pullback attractors on time-dependent spaces for fluid-structure interaction systems (2018), arXiv:1808.03162 [math.DS],  https://doi.org/10.48550/arXiv.1808.03162.

2016    T. Fastovska, Global attractor for thermoelasticity in shape memory alloys without viscosity.Math. Meth. Appl. Sci. 39, 3669–3690.

2016     I. Chueshov, T. Fastovska, On interaction of circular cylindrical shells with a Poiseulle flow, Evolution Equations and Control Theory 5,  605-629.

2014    T. Fastovska, Attractor for a composite system of nonlinear wave and thermoelastic plate equations, Visnyk of Kharkiv National University 70,  4-35.

2013   T. Fastovska, Decay rates for Kirchhoff-Timoshenko transmission problems, Commun. Pure Appl. Anal. 12, 2645-2667.

2013  T. Fastovska, On the long-time behavior of the thermoelastic plates with second sound., Math. Phys. Anal. Geom. 9, 191-206.

2009    T. Fastovska, Upper semicontinuous attractor for a 2D Mindlin-Timoshenko thermo-viscoelastic model with memory, Nonlinear Analysis TMA 71, 4833-4851.

2007    T. Fastovska, Upper semicontinuous attractor for 2D Mindlin-Timoshenko thermoelastic model with memory, Commun. Pure Appl. Anal. 6,  83-101.

2006       T.  Fastovska, Asymptotic properties of global attractors for nonlinear Mindlin-Timoshenko model of thermoelastic plate, Visnyk of Kharkiv National University, 56, no. 749, 13-29.

2005     T. Fastovska, Invariant manifolds for coupled nonlinear parabolic- hyperbolic PDE, Ukrainian Math. J., 57, no. 12, 1684-1697.

2005   T. Fastovska, Global attractor for nonlinear Mindlin-type plates thermoelasticity, J. Math. Phys. Anal. Geom., 12, no. 2, 203-217. 

  1. Fastovska T., Ginster J. and Zwicknagl B.  (2025): On the Derivation of the Timoshenko Beam Model from Nonlinear Elasticity by Gamma-Convergence, Proceedings of GAMM Annual Meeting 2025, Poznań, Poland, April 8-12, pp. 266-267.
  2. Fastovska T., Langemann D., Ryzhkova I. (2025): Global attractors and singular limits for dynamical systems generated by various transmission problems for elastic beams, Proceedings of Dynamics days Europe 2025, Thessaloniki, Greece, June 22-27, p. 201.
  3. Fastovska T., Langemann D., Ryzhkova I. (2024): Nonlinear dynamics and asymptotic behavior of Bresse beams with transmission boundary conditions, Proceedings of “Vibrations in Physical and Technical Systems 2024”, Poznań, Poland, October 16-18, p. 32.
  4. Fastovska T. (2023): Asymptotic properties of solutions to transmission problems for elastic beams,  Workshop “Dynamics, Bifurcations and Numerics”, July 4-7 2023, Guildford, UK, pp.1-2.
  5. Fastovska T., Langemann D., Ryzhkova I. (2023): Long-time dynamics and singular limits of transmission problems for elastic arch beams,  GAMM Annual Meeting 2023, Dresden, Germany, May 30-June 2, p. 438.
  6. Fastovska T. (2022): Long time behavior of solutions to a nonlinear beam transmission problem, 30th  IFIP TC 7 Conference On System Modeling and Optimization, Warsaw, Poland, July 4-8, p. 6.
  7. Fastovska T.  (2022): Attractors of the Bresse-von  Karman elastic system, International workshop “Dynamics of PDEs”, Guildford, UK, 18-21 January, 2020, р. 3
  8. Fastovska T. (2018): Pullback and uniform attractors for non-autonomous fluid-structure interaction systems, 28th  IFIP TC 7 Conference On System Modeling and Optimization, Essen, Germany, July 23-27, p. 26.
  9. Fastovska T. (2018): Attractors for a full von Karman fluid-structure interaction model, International Workshop “Dynamics of dissipative PDEs”, Guildford, Surrey, UK, September 9-14, pp. 2-4. 

14 Mar 2022-31 Dec 2023: Visiting Researcher, Humboldt University of Berlin, Berlin, Germany

9 Jan-8 Feb 2020: Visiting Researcher, Technical University of Braunschweig, Braunschweig, Germany

5-19 Aug 2019: Visiting Researcher, Technical University of Braunschweig,Braunschweig, Germany

6-22 Aug 2018: Visiting Researcher, Humboldt University of Berlin, Berlin, Germany

3 Jul. 2017-30 Jul. 2017: Visiting Researcher, Technical University of Braunschweig, Braunschweig, Germany

3 Jan. 2018-3 Feb. 2018: Visiting Researcher, Humboldt University of Berlin, Berlin, Germany

28 Jun -26 Jul 2016: Visiting Researcher, Humboldt University of Berlin, Berlin, Germany