Sergiy
Vasylkevych
Office:
Research I, Room 124 

Research Interests

Documents 
Teaching 
M. Oliver, S. Vasylkevych, A new construction of modified equations for variational integrators, submitted to Journal of Geometric Mechanics, 2012.
M. Çalik, M. Oliver, S. Vasylkevych, Global wellposedness for the generalized largescale semigeostrophic equations, Arch. Ration. Mech. Anal., in press, 2012.
M. Oliver, S. Vasylkevych, Generalized LSG models with variable Coriolis parameter, Geophysical & Astrophysical Fluid Dynamics, published online, DOI: 10.1080/03091929.2012.722210, 2012.
M. Oliver, S. Vasylkevych, Hamiltonian formalism for models of rotating shallow water in semigeostrophic scaling, Discrete and Continuous Dynamical SystemsA, 31(3), 827846, 2011.
S.Vasylkevych, J. Marsden, The LiePoisson Structure of the Euler Equations of an Ideal Fluid, Dynamics of PDE, no.4 (2) , 281300, 2005.
S. Vasylkevych, Poisson structures for PDEs associated with diffeomorphism groups, Ph.D. Thesis, California Institute of Technology, 2004.