Georgy Kitavtsev
(AVESİS)
Background
- Lecturer in Applied Maths. Univ. of Oxford, 2018-2020.
- Research Assoc. University of Bristol, 2015-2017
- Postdoc. Max Planck Institute for Mathematics, Leipzig, 2010-2015.
- Ph.D. Humboldt University of Berlin. 2010.
Research Interests
- Numerical methods. Dynamical systems. Partial differential equations.
Contact Information
- Office: TAZ-20
- Phone: +90 392 661 3402
- e-mail: georgy
metu.edu.tr
(arXiv list)
Selected Publications/Preprints
- G. Kitavtsev and R. M. Taranets. Long-time behaviour of solutions to a singular heat equation with an application to hydrodynamics, ArXiv preprint arXiv:1810.02161, 2018.
-
G. Kitavtsev, G. Lauteri, S. Luckhaus and A. Ruland. A compactness and structure
result for a discrete multi-well problem with SO(n) symmetry in arbitrary dimension,
accepted to Arch. Rational Mech. Analysis, September 2018. -
G. Kitavtsev, A. Munsch and B. Wagner. Thin film models for active gels,
accepted to Royal Proceedings A, October 2018. - M.A. Fontelos, G. Kitavtsev and R.M.Taranets. Asymptotic decay and nonrupture of viscous sheets, Z. Angew. Math. Phys., 69:79, 2018.
- G. Kitavtsev, M. Fontelos and J. Eggers. Thermal rupture of a viscous sheet. J. Fluid Mech., 840:555-578, 2018.
- G. Kitavtsev, S. Luckhaus and A. Ruland. Surface energies emerging in a microscopic, two-dimensional two-well problem. Proc. Edinburgh Math. Soc.,147(5):1041-1089, 2017.
- G. Kitavtsev, J.M. Robbins, V. Slastikov and A. Zarnescu. Liquid crystal defects in the Landau-de Gennes theory in two dimensions -- beyond the one-constant approximation. Math. Mod. Meth. Appl. Sci., 26(12):2769-2808, 2016.
- G. Kitavtsev, S. Luckhaus and A. Ruland. Surface energies arising in microscopic modeling of martensitic transformations. In proceedings of Material Forming Conference ESAFORM 2015. Key Engineering Materials, 651-653:941-943, 2015.
- G. Kitavtsev, S. Luckhaus, and A. Ruland. Surface energies arising in microscopic modeling of martensitic transformations. Math. Mod. Meth. Appl. Sci., 25(4):647-683, 2015.
- S. Jachalski, R. Huth, G. Kitavtsev and D. Peschka. Gradient flow perspective on thin-film bilayer flows. J. Eng. Math., 94(1):43-61, 2015.
- G. Kitavtsev. Coarsening rates for the dynamics of slipping droplets. Europ. J. Appl. Math., 25 (1):83115, 2014.
- S. Jachalski, G. Kitavtsev and R. M. Taranets. Weak solutions to lubrication systems describing the evolution of bilayer thin films. Comm. Math. Sci., 12(3): 527-544, 2014.
- S. Jachalski, R. Huth, G. Kitavtsev, D. Peschka and B. Wagner. Stationary solutions for two-layer lubrication equations. SIAM J. Appl. Math.,73 (3):11831202, 2013.
- G. Kitavtsev, L. Recke and B. Wagner. Asymptotics for the spectrum of a thin film equation in a singular limit. SIAM J. Appl. Dyn. Syst., 11(4):1425{1457, 2012.
- G. Kitavtsev, L. Recke and B. Wagner. Centre manifold reduction approach for the lubrication equation. Nonlinearity, 24(8):2347--2369, 2011.
- G. Kitavtsev, P. Laurencot and B. Niethammer. Weak solutions to lubrication equations in presence of strong slippage. Methods and Applications of Analysis, 18(2):183--202, 2011.
- G. Kitavtsev and B. Wagner. Coarsening dynamics of slipping droplets. J. Eng. Math., 66:271--292, 2010.