Andrii KHRABUSTOVSKYI
PhD, junior research fellow at ILTPE
Personal
- Date and place of birth: 2.11.1984, Kharkiv , Ukraine
- Citizenship: Ukraine
- Languages: Ukrainian (native), English, Russian
- Business address: Mathematical division, Institute for Low Temperature Physics and Engineering of National Academy of Sciences of Ukraine, 47, Lenin avenue, Kharkiv, 61103, Ukraine, tel.: (+380)-57-341-09-86
- E-mail: andry9@ukr.net
- Mobile tel.: (+380)-50-859-83-23
- Personal address: apt.7, Kosmonavtov str. 2, 61103 Kharkiv , Ukraine
Education and academic degrees
- 2001-2006 - Undergraduate course at Kharkiv National University
- 2005 - Bachelor's degree in Applied Mathematics.
- 2006 - Master's degree in Applied Mathematics.
- 2006 - 2009 - Post-graduate course at Institute for Low Temperature Physics and Engineering of National Academy of Sciences of Ukraine (ILTPE)
- 2009 - present time – young research fellow at ILTPE
- 2010 - Ph. D. (speciality: “Mathematical Physics”)
Thesis adviser: academician of the National Academy of Sciences of Ukraine, professor Evgen KHRUSLOV
Thesis title: Homogenization of spectral and evolution problems on Riemannian manifolds of complex microstructure
Publications
Recent preprints
- Andrii Khrabustovskyi. Periodic elliptic operators with asymptotically preassigned spectrum, arXiv:1201.3729 (2012) PDF
- Andrii Khrabustovskyi. Homogenization of spectral problem on Riemannian manifold consisting of two domains connected by many tubes, arXiv:1011.3931 (2010) PDF
Journal articles
- Andrii Khrabustovskyi. Periodic Riemannian manifold with preassigned gaps in spectrum of Laplace-Beltrami operator, Journal of Differential Equations, 252(3) (2012), 2339–2369 PDF
- Andrii Khrabustovskyi. Homogenization of eigenvalue problem for Laplace-Beltrami operator on Riemannian manifold with complicated "bubble-like" microstructure. Mathematical Methods in the Applied Sciences, 32(16) (2009), 2123–2137 PDF
- Andrii Khrabustovskyi. On spectrum of Riemannian manifolds with attached thin handles. Journal of Mathematical Physics, Analysis, Geometry, 5(2) (2009), 145-169 PDF
- Andrii Khrabustovskyi. Asymptotic behaviour of spectrum of Laplace-Beltrami operator on Riemannian manifolds with complex microstructure. Applicable Analysis, 87(12) (2008), 1357-1372 PDF
- Andrii Khrabustovskyi, Holger Stephan. Positivity and Time Behavior of a Linear Reaction-Diffusion System, Non-local in Space and Time. Mathematical Methods in the Applied Sciences, 31(15) (2008), 1809-1834 PDF
- Andrii Khrabustovskyi. Klein-Gordon Equation as a Result of Wave Equation Averaging on the Riemannian Manifold of Complex Microstructure. Journal of Mathematical Physics, Analysis, Geometry, 3 (2) (2007), 213-233 PDF
Fields of research
- Homogenization of PDE’s
- Spectral theory
- Analysis on manifolds
- Reaction-diffusion systems
Grants, honors, memberships
- M.Sc. - Diploma with Honor, Kharkiv National University, 2006
- Scholarship for excellent students, Kharkiv National University, 2001-2006
- Grant of Akhiezer's Fund, 2006, Ukraine
- Grant DAAD, 2006, Germany
- Grant of National Academy of Sciences of Ukraine, 2007-2008
- President’s of Ukraine scholarship, 2009-2010
- Grant of French Embassy, 2009
- Participation in the joint French-Ukrainian project "PICS 2009-2011.Mathematical Physics: Methods and Applications"
- M.V. Ostrogradsky scholarship for young mathematicians, 2011
Research visits
- Technische Universitat Darmstadt (Arbeitsgruppe Analysis), Germany, February 2007
- Weierstras-Institut fur Angewandte Analysis und Stochastik (Forschungsgruppe "Numerische Mathematik und Wissenschaftliches Rechnen), Berlin, Germany, November 2009
- Institut de Mathematiques de Jussieu, Paris, France, December 2009
Conferences and schools attended
Outside Ukraine:
- CIMPA-UNESCO School "Nonlinear Analysis and Geometrical PDE", June 2008, Tsaghadzor , Armenia
- First Winter School at IMDEA on PDEs and Inequalities, February 2009, Madrid
- International Conference on Elliptic and Parabolic Equations, November 2009, Berlin
- 10th GAMM Seminar on Microstructures, January 2011, Darmstadt
- "Partial Differential Equations", September 2011, Caputh, Germany
In Ukraine:
- Conference for Young Scientist and Researches “Low Temperature Physics”, June2007, Kharkiv, Ukraine
- Liapunov Memorial International Conference, June 2007, Kharkiv, Ukraine
- International School-Conference KROMSH-2007, September 2007, Laspi , Ukraine
- International Conference "Tarapov's Readings", May 2008, Kharkiv , Ukraine
- Conference for Young Scientist and Researches “Low Temperature Physics”, May2008, Kharkiv, Ukraine
- International School-Conference KROMSH-2008, September 2008, Laspi , Ukraine
- “Geometry "in large", topology and applications", June 2009, Kharkiv , Ukraine
- Ukrainian Mathematical Congress, August 2009, Kyiv, Ukraine
- Conference for Young Scientist and Researches “Low Temperature Physics”, May 2010, Kharkiv, Ukraine
- International Conference “Differential Equations and Applications”, November 2010, Lviv, Ukraine.
