The research is focused on theoretical and computational study of the dynamics of complex fluids and its applications to other areas such as mechanical and chemical engineering, materials science and geophysics. Mathematical aspects of research include the theory of asymptotic scaling and reduction of underlying differential equations, the theory of stability and bifurcations, perturbation and asymptotic methods, and numerical methods for partial differential equations.
Guba, P., Worster, M. G., Interactions between steady and oscillatory convection in mushy layers, J. Fluid Mech. 645, 411–434, 2010.
Guba, P., Anderson, D. M., Diffusive and phase change instabilities in a ternary mushy layer, J. Fluid Mech. 760, 634–669, 2014.
Kyselica, J., Guba, P., Forced flow and solidification over a moving substrate, Appl. Math. Model. 40, 31–40, 2016.
Guba, P., Anderson, D. M., Pattern selection in ternary mushy layers, J. Fluid Mech. 825, 853–886, 2017.
Šimkanin, J., Kyselica, J., Guba, P., Inertial effects on thermochemically driven convection and hydromagnetic dynamos in a spherical shell, Geophys. J. Int. 212, 2194–2205, 2018.
Kyselica, J., Guba, P., Hurban, M., Solidification and flow of a binary alloy over a moving substrate, Transp. Porous Med. 121, 419–435, 2018.