Dr. Sergiy Vasylkevych

Selected Publications:

• M. Oliver and S. Vasylkevych. Geodesic motion on groups of diffeomorphisms with H^1 metric as geometric generalised Lagrangian mean theory. Geophysical & Astrophysical Fluid Dynamics. 113 (2019), 1-25. 10.1080/03091929.2019.1639697. (pdf)

• J. Robbins, V. Slastikov, and S. Vasylkevych. Domain wall propagation in nanowires under strong transverse fields, submitted for publication (pdf)

• M. Oliver and S. Vasylkevych. A new construction of modified equations for variational integrators, submitted for publication (pdf)

• G. Badin, M. Oliver, and S.~Vasylkevych. Geometric Lagrangian averaged Euler-Boussinesq and primitive equations, J. Phys. A: Math. Theor. 51 (2018), 455501 (pdf)

• O. Tretiakov, M. Morini, S. Vasylkevych and V. Slastikov. Engineering curvature-induced anisotropy in thin ferromagnetic films, Phys. Rev. Lett. 119 (2017), 077203 (pdf)

• Yu. Gaididei, A. Goussev, V. Kravchuk, O. Pylypovskyi, J. Robbins, D. Sheka, V. Slastikov, and S. Vasylkevych. Magnetization in narrow ribbons: curvature effects, J. Phys. A: Math. Theor. 50 (2017), 385401 (pdf)

• M. Oliver and S.Vasylkevych. Generalized large-scale semigeostrophic approximations for the f-plane primitive equations, J. Phys. A: Math. Theor. 49 (2016), 184001 (pdf)

• M. Calik, M. Oliver, and S. Vasylkevych. Global well-posedness for the generalized large-scale semigeostrophic equations, Arch. Ration. Mech. An., 207 (2013), 3, 969--990 (pdf)

• M. Oliver and S. Vasylkevych. Generalized LSG models with spatially varying Coriolis parameter, Geophys. Astrophys. Fluid Dyn., 107 (2013), 3, 259--276 (pdf)

• M. Oliver and S. Vasylkevych. Hamiltonian formalism for models of rotating shallow water in semigeostrophic scaling, Discret and Contin. Dyn. S. A, 31 (2011), 3, 827--846 (pdf)

Ph. D. Thesis

• Poisson structures for PDEs associated with diffeomorphism groups, California Institute of Technology, 2005 (pdf)