- BS, Environmental Sciences, Florida Institute of Technology, 2009
- PhD, Applied Mathematics, Florida Institute of Technology, 2017
- U. G. Abdulla and J. Goldfarb. Frechet differentability in Besov spaces in the optimal control of parabolic free boundary problems. Journal of Inverse and Ill-Posed Problems, 2017. doi: 10.1515/jiip-2017-0014. URL https://arxiv.org/abs/1604.00057.
- U. G. Abdulla, E. Cosgrove, C. Earl, and J. Goldfarb. On the state constrained optimal control of the Stefan type free boundary problems. Submitted: Mathematical Control and Related Fields.
My current research centers on the rigorous analysis and numerical simulation of free boundary and related optimal control problems. One model example from this family of problems comes from the identification of ice surface dynamics together with estimates for the heat flux on inaccessible portions of the domain. Applications are also found in biomedical engineering and population dynamics.