My research theme is theoretical fluid dynamics and it inevitably requires intensive knowledge from applied mathematics.
I am interested in investigating the underlying physics behind fluid flows using mathematical models. I use mathematical tools such as differential equations, complex analysis, asymptotic and perturbation theory to analyze flow physics. I also implement numerical approximations to complement analytic solutions.
My master thesis was a numerical investigation on the Lagrangian dynamics in cavity flows. I looked into the dynamics of Lagrangian coherent structures which are approximated using the finite-time Lyapunov exponent (FTLE) method.
My PhD study is vortex dynamics with buoyancy using reduced models to calculate the motion of buoyant vortices. I am also investigating the stability of vortices.