Prof. Dr. Oleksandr Tymokha

Profile

Academic positionFull Professor
Research fieldsGeneral and overarching topics in Mathematics; collections,Numerical Analysis, Optimization, Simulation
Keywordsmultimodal method, mathematical modeling, levitating drops

Current contact address

CountryUkraine
CityKiev
InstitutionNational Academy of Sciences of Ukraine
InstituteInstitute of Mathematics, Dynamics and Stability of Multidimensional Systems

Host during sponsorship

Prof. Dr. Martin HermannInstitut für Angewandte Mathematik, Friedrich-Schiller-Universität Jena, Jena
Start of initial sponsorship01/04/2003

Programme(s)

2002Humboldt Research Fellowship Programme

Publications (partial selection)

2007Ivan Gavrilyuk, Ivan Lukovsky, Yurii Trotsenko, Alexander Timokha: Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 2. Nonliear resonant waves. In: Journal of Engineering Mathematics, 2007, 57-78
2006Alexander Timokha, Martin Hermann: A finite-dimensional modal modelling of nonlinear fluid sloshing. In: Alessandro Di Bucchianico, Robert M.M. Mattheij, Marc Adriaan Peletier, Progress in Industrial Mathematics at ECMI 2004. Springer, 2006. 528-533
2006Ivan Lukovsky, Oleksandr Solodun, Alexander Timokha: Eigen oscillations of a liquid sloshing in truncated conical tanks. In: Acoustic Bulletin, 2006, 42-61
2006Iwan Gavrilyuk, Ivan Lukovsky, Vladimir Makarov, Alexander Timokha: Evolutional problems of the contained fluid. Publishing House of the Institute of Mathematics of NASU, 2006
2006Ivan Gavrilyuk, Martin Hermann, Alexander Timokha, Vladimir Trotsenko: Modelling of the eigenfield of a prestressed hypereleastic membrane encapsulating a liquid. In: Computational Methods in Applied Mathematics, 2006, 367-385
2006Odd Faltinsen, Olav Rognebakke, Alexander Timokha: Resonant three-dimensional nonlinear sloshing in a square-base basin. Part 3. Base ratio perturbations. In: Journal of Fluid Mechanics, 2006, 93-116
2006Iwan Gavrilyuk, Ivan Lukovsky, Yuri Trotsenko, Alexander Timokha: Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 1. Linear fundamental solutions. In: Journal of Engineering Mathematics, 2006, 71-88
2006Odd Faltinsen, Olav Rognebakke, Alexander Timokha: Transient and steady-state amplitudes of resonant three-dimensional sloshing in a square base tank with a finite fluid depth. In: Physics of Fluids, 2006, 012103-1-012103-14
2005Odd Faltinsen, Olav Rognebakke, Alexander Timokha: Classification of three-dimensional nonlinear sloshing in a square-base tank with finite depth. In: Journal of Fluids and Structures, 2005, 81-103
2005Ivan Gavrilyuk, Ivan Lukovsky, Alexander Timokha: Linear and nonlinear sloshing in a circular conical tank. In: Fluid Dynamics Research, 2005, 399-429
2005Martin Hermann, Alexander Timokha: Modal modelling of the nonlinear resonant sloshing in a rectangular tank I: A single-dominant model. In: Mathematical Models and Methods in Applied Sciences, 2005, 1431-1458
2005Odd Faltinsen, Olav Rognebakke, Alexander Timokha: Resonant three-dimensional nonlinear sloshing in a square base basin. Part 2. Effect of higher modes. In: Journal of Fluid Mechanics, 2005, 199-218
2004Martin Hermann, Alexander Timokha: Secondary bifurcations in nonlinear asymptotic modal systems modelling the fluid sloshing. In: Transactions of IM NASU, 2004, 210-228
2004Ivan Gavrilyuk, Ivan Lukovsky, Alexander Timokha: Two-dimensional variational vibroequilibria and Faraday's drops. In: ZAMP, 2004, 1015-1033
2004Klaus Beyer, Mathias Guenther, Alexander Timokha: Variational and finite element analysis of vibroequilibria. In: Computational Methods in Applied Mathematics, 2004, 290-323
2003Ivan Gavrilyuk, Alexander Timokha: A Nysröm-Kress scheme for a Dirichlet-Neumann boundary value problem associated with fluid sloshing in a rectangular tank.. In: Proc.Inst.Math.,NASU, 2003, 284-301
2003Odd Faltinsen, Olav Rognebakke, Alexander Timokha: A modal system for classification and simulation of nonlinear sloshing in a near-square base tank with finite depth.. Proceed. 18th Int. Workshop on Water Waves and Floating Bodies. 2003. 65-68
2003Ivan Gavrilyuk, Martin Hermann, Alexander Timokha: Objektorientierte Computermodellierung - die Technologie der Gegenwart and der Zukunft.. In: B. Kroll, S. Rometsch, Beiträge der Berufsakademie Thueringen, Staatliche Studienakademie. Heft 1.. Druck- und Verlagshaus Frisch, 2003. 88-97
2003Odd Faltinsen, Olav Rognebakke, Alexander Timokha: Resonant three-dimensional nonlinear sloshing in a square base basin. In: Journal of Fluid Mechanics, 2003, 1-42