My research has been focused on fluid dynamics, specifically, evolution and instability of low liquid-fraction, surfactant-free foams. The main application is to develop a process to produce solid metal foams without the use of stabilizing particles
My research interests are large-scale nonlinear continuous optimization, mixed integer optimization, and nonlinear model-predictive control applications.
Mathematical models of complex and dynamic systems.
I am modeling dynamically, self-assembled, magnetic colloids which live at the interface between sugar water and air. The integrity of the model is then tested using a high-performance, professional GPU cluster at Argonne National Lab to verify that experimental phenomenon is recovered. All of the experiments and modeling is done at ANL. This research is at the intersection of asymptotics, numerics and PDE's and is based in mathematical physics.
Nonlinear dynamical systems, specifically granular flows.
Mathematical and System Biology; Diffusive Network Dynamics; Rare Event Simulation; Large Deviation Theory; Nonlinear Time Series Analysis