Fastovska Tamara
Education
PhD in Mathematics (2008), V.N. Karazin Kharkiv National University
Scientific advisor: Prof. I. Chueshov.
Thesis: Asymptotic behavior of solutions to thermoelastic Mindlin plates problems.
Scientific advisor: Prof. I. Chueshov.
Thesis: Asymptotic behavior of solutions to thermoelastic Mindlin plates problems.
Research interests
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.
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.
Experience
- Teaching experience
1) At Humboldt University of Berlin
Seminar on Applied Analysis: Gamma-Convergence and Applications
2) At V.N. Karazin Kharkiv National University
Partial Differential Equations,
Mathematical Statistics,
Mathematical Analysis,
Functional Analysis,
Probability Theory
Operator Theory,
Dynamical Systems,
Variational Methods of Mathematical Physics,
Elliptic Problems,
Sobolev Spaces,
Distribution Theory,
Interpolation Theory
3) At Kharkiv National Automobile and Highway University
Higher Mathematics
- Participation in research projects
Principal Investigator or Co-Principal Investigator:
1) "Asymptotic Methods for Dynamic and Static Problems in Elasticity ", 2024-2025, Einstein Guest Researcher, Humboldt University of Berlin, Germany.
2) "Dynamic Problems in Elasticity", 2022-2023, Volkswagen Foundation grant, Humboldt University, Berlin, Germany.
3) "From Modeling and Analysis to Approximation", 2020-2023, Volkswagen Foundation grant, Humboldt University/Technical university of Braunschweig/University of Luebeck, Germany.
4) "Modeling, Analysis, and Approximation Theory toward Applications in Tomography and Inverse Problems", 2016-2019, Volkswagen Foundation grant,Humboldt University/Technical university of Braunschweig/University of Luebeck, Germany.
Participation in Research Projects
1) CRC TRR 388 "Rough Analysis, Stochastic Dynamics& Related Fields", since 2025
1) At Humboldt University of Berlin
Seminar on Applied Analysis: Gamma-Convergence and Applications
2) At V.N. Karazin Kharkiv National University
Partial Differential Equations,
Mathematical Statistics,
Mathematical Analysis,
Functional Analysis,
Probability Theory
Operator Theory,
Dynamical Systems,
Variational Methods of Mathematical Physics,
Elliptic Problems,
Sobolev Spaces,
Distribution Theory,
Interpolation Theory
3) At Kharkiv National Automobile and Highway University
Higher Mathematics
- Participation in research projects
Principal Investigator or Co-Principal Investigator:
1) "Asymptotic Methods for Dynamic and Static Problems in Elasticity ", 2024-2025, Einstein Guest Researcher, Humboldt University of Berlin, Germany.
2) "Dynamic Problems in Elasticity", 2022-2023, Volkswagen Foundation grant, Humboldt University, Berlin, Germany.
3) "From Modeling and Analysis to Approximation", 2020-2023, Volkswagen Foundation grant, Humboldt University/Technical university of Braunschweig/University of Luebeck, Germany.
4) "Modeling, Analysis, and Approximation Theory toward Applications in Tomography and Inverse Problems", 2016-2019, Volkswagen Foundation grant,Humboldt University/Technical university of Braunschweig/University of Luebeck, Germany.
Participation in Research Projects
1) CRC TRR 388 "Rough Analysis, Stochastic Dynamics& Related Fields", since 2025
Talks on conferences
T. Fastovska, J. Ginster and B. Zwicknagl, Derivation of Mindlin-Timoshenko model from nonlinear elasticity, DMV Annual Meeting 2026, Konstanz, Germany, September 7-10.
T. Fastovska, D. Langemann, Qualitative properties of solutions of transmission problems for arch beams with thermal damping, GAMM Annual Meeting 2026, Suttgart, Germany, March 16-20, p. 270.
T. Fastovska, J. Ginster and B. Zwicknagl, On the Derivation of the Timoshenko Beam Model from Nonlinear Elasticity by Gamma-Convergence, GAMM Annual Meeting 2025, Poznań, Poland, April 8-12, p. 266-267.
T. Fastovska, D. Langemann, I. Ryzhkova, Global attractors and singular limits for dynamical systems generated by various transmission problems for elastic beams, Dynamics days Europe 2025, Thessaloniki, Greece, June 22-27, p. 201.
T. Fastovska, D. Langemann, I. Ryzhkova, Nonlinear dynamics and asymptotic behavior of Bresse beams with transmission boundary conditions, Vibrations in Physical and Technical Systems 2024, Poznań, Poland, October 16-18, p. 32.
T. Fastovska, Asymptotic properties of solutions to transmission problems for elastic beams, Workshop “Dynamics, Bifurcations and Numerics”, July 4-7 2023, Guildford, UK, pp.1-2.
T. Fastovska, D. Langemann, I. Ryzhkova, 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.
T. Fastovska, Qualitative properties of solutions to a nonlinear transmission problem for an elastic Bresse beam, International Workshop " From Modeling and Analysis to Approximation and Fast Algorithms", 2022, Hasenwinkel, Germany, December 2-6.
T. Fastovska, Long time behavior of solutions to a nonlinear beam transmission problem, Proceedings of 30 IFIP TC 7 Conference On System Modeling and Optimization, 2022, Warsaw, Poland, July 4-8, p. 6.
T. Fastovska, D. Langemann, Transmission problems for elastic beams: results and perspectives, International workshop " Analytical modeling and approximation methods", 2020, Berlin, Germany, March 4-8.
T. Fastovska, Attractors of the Bresse-von Karman elastic system, Proceedings of International workshop "Dynamics of PDEs", Guildford, UK, 18-21 January, 2020, ð. 3.
T. Fastovska, Asymptotic behaviour of Bresse type transmission problems, International workshop" Modeling, interpolation, and approximation for waves and signals ", 2019, Luebeck, Germany, August 20-23.
T. Fastovska, Long-time behaviour of transmission problems of elasticity, Proceedings of International conference "Infinite dimensional dynamical systems and attractors", 2019, Lanzhou, PRC, June 30-July 6, ð. 6.
T. Fastovska, I.Kmit, On the long-time behaviour of non-autonomous fluid-structure interaction systems, International conference "Modeling, analysis, approximation theory toward applications in tomography and inverse problems", 2018, Braunschweig, Germany, February 3-7.
T. Fastovska, Pullback and uniform attractors for non-autonomous fluid-structure interaction systems, Proceedings of 28 IFIP TC 7 Conference On System Modeling and Optimization, 2018, Essen, Germany, July 23-27, p. 26.
T. Fastovska, Attractors for a full von Karman fluid-structure interaction model, Proceedings of International Workshop "Dynamics of dissipative PDEs", 2018, Guildford, Surrey, UK, September 9-14, pp. 2-4.
T. Fastovska, D. Langemann, Qualitative properties of solutions of transmission problems for arch beams with thermal damping, GAMM Annual Meeting 2026, Suttgart, Germany, March 16-20, p. 270.
T. Fastovska, J. Ginster and B. Zwicknagl, On the Derivation of the Timoshenko Beam Model from Nonlinear Elasticity by Gamma-Convergence, GAMM Annual Meeting 2025, Poznań, Poland, April 8-12, p. 266-267.
T. Fastovska, D. Langemann, I. Ryzhkova, Global attractors and singular limits for dynamical systems generated by various transmission problems for elastic beams, Dynamics days Europe 2025, Thessaloniki, Greece, June 22-27, p. 201.
T. Fastovska, D. Langemann, I. Ryzhkova, Nonlinear dynamics and asymptotic behavior of Bresse beams with transmission boundary conditions, Vibrations in Physical and Technical Systems 2024, Poznań, Poland, October 16-18, p. 32.
T. Fastovska, Asymptotic properties of solutions to transmission problems for elastic beams, Workshop “Dynamics, Bifurcations and Numerics”, July 4-7 2023, Guildford, UK, pp.1-2.
T. Fastovska, D. Langemann, I. Ryzhkova, 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.
T. Fastovska, Qualitative properties of solutions to a nonlinear transmission problem for an elastic Bresse beam, International Workshop " From Modeling and Analysis to Approximation and Fast Algorithms", 2022, Hasenwinkel, Germany, December 2-6.
T. Fastovska, Long time behavior of solutions to a nonlinear beam transmission problem, Proceedings of 30 IFIP TC 7 Conference On System Modeling and Optimization, 2022, Warsaw, Poland, July 4-8, p. 6.
T. Fastovska, D. Langemann, Transmission problems for elastic beams: results and perspectives, International workshop " Analytical modeling and approximation methods", 2020, Berlin, Germany, March 4-8.
T. Fastovska, Attractors of the Bresse-von Karman elastic system, Proceedings of International workshop "Dynamics of PDEs", Guildford, UK, 18-21 January, 2020, ð. 3.
T. Fastovska, Asymptotic behaviour of Bresse type transmission problems, International workshop" Modeling, interpolation, and approximation for waves and signals ", 2019, Luebeck, Germany, August 20-23.
T. Fastovska, Long-time behaviour of transmission problems of elasticity, Proceedings of International conference "Infinite dimensional dynamical systems and attractors", 2019, Lanzhou, PRC, June 30-July 6, ð. 6.
T. Fastovska, I.Kmit, On the long-time behaviour of non-autonomous fluid-structure interaction systems, International conference "Modeling, analysis, approximation theory toward applications in tomography and inverse problems", 2018, Braunschweig, Germany, February 3-7.
T. Fastovska, Pullback and uniform attractors for non-autonomous fluid-structure interaction systems, Proceedings of 28 IFIP TC 7 Conference On System Modeling and Optimization, 2018, Essen, Germany, July 23-27, p. 26.
T. Fastovska, Attractors for a full von Karman fluid-structure interaction model, Proceedings of International Workshop "Dynamics of dissipative PDEs", 2018, Guildford, Surrey, UK, September 9-14, pp. 2-4.