Georgy Kitavtsev

Research Interests

• Nonlinear PDEs arising in fluid dynamics.

• Dynamical systems and metastable patterns.
  
  
• Coarsening dynamics of thin liquid films
  
  
• Multiscale methods in elasticity and phase transitions.
  
  
• Numerics of PDEs and ODEs.
  
  
• Spectral analysis of singular perturbed problems.
  
  

Education

• 1999-2005          Diploma with distinction in applied mathematics at the Bauman Moscow State Technical University (advisor Mikhail P. Galanin).                  

• 2006-2009          Doctoral studies at the DFG Research Training Group 1128 "Analysis, Numerics and Optimization

• 11.2009               Ph.D. in mathematics at the Humboldt University of Berlin (advisors Lutz Recke, Barbara Wagner).
  

Research Experience

• Since 2010                          Research Associate at the Max Planck Institute for Mathematics in the Sciences, Leipzig.
  
  
• 05.2009-12.2009          Research Associate at the research group "Thermodynamic Modeling and Analysis of Phase Transitions" at the WIAS Berlin.
  
  
• 01.- 06.2005                  Diploma practicum at the Keldysh Institute of Applied Mathematics of Russian Academy of Science, Moscow.
  
  

Publications

• G. Kitavtsev and B. Wagner. Coarsening dynamics of slipping droplets.
  Journal of Engineering Mathematics, 66:271-292, 2010. [WIAS preprint 1381][Article]
  
  
• G. Kitavtsev, P. Laurençot, and B. Niethammer. Weak solutions to lubrication equations in presence of strong slippage.
  To appear in Methods and Applications of Analysis [MPI MIS Preprint 66/2010].
  
  
• G. Kitavtsev, L. Recke, and B. Wagner. Centre manifold reduction approach for the lubrication equation.
  Nonlinearity, 24(8):2347–2369, 2011. [WIAS preprint 1554][Article]
  
  
• G. Kitavtsev, L. Recke, and B. Wagner. Asymptotics for the spectrum of the linearized thin film equation in a singular limit.
  Submitted [WIAS preprint 1555].
  
  

Conference Proceedings

• G. Kitavtsev and B. Wagner. Critical slippage for droplet migration in nanometric liquid films.
  In proceedings of international conference "Advanced Problems in Mechanics",
  Sankt-Petersburg 2010, Published Online: Dec 10 2010.
  
  
• G. Kitavtsev.  Derivation, Analysis and Numerics of Reduced ODE Models Describing Coarsening Dynamics.
  The Best Poster Award at the 3^rd European Postgraduate Fluid Dynamics Conference, Nottingham 2009.
  
  
• G. Kitavtsev, L. Recke, and B. Wagner. Spectrum asymptotics for the linearized thin film equation.
  In proceedings of 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM),
  Bremen 2008, PAMM, 8(1): 10727 - 10728. Published Online: Feb 26 2009.
  
  
• G. Kitavtsev, L. Recke, and B. Wagner. Coarsening dynamics of polymer droplets for a lubrication model with large slippage.
  In proceedings of Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting,
  Zürich 2007, PAMM, 7(1): 2050007-2050008. Published Online: Jul 10 2008.
  
  
• A. K. Arzhnikov, M. P. Galanin, and G. B. Kitavtsev. Direct calculation of physical properties for nanocomposite material with tunnel conductivity.
  In proceedings of the 3rd Moscow International Symposium on Magnetism,
  Moscow 2005, supplementary issue. M.V. Lomonosov Moscow State University, Faculty of Physics Publisher, 114-118, 2005.