Graduate Students and Publications

Bruno Poggi, graduated with M.S. degree in July, 2015

  • M.S. Thesis: Optimal Control of the Multiphase Stefan Problem, July, 2015, Florida Institute of Technology.
  • U.G. Abdulla and B. Poggi, Optimal Control of the Multiphase Stefan Problem, European Journal of Applied Mathematics (Submitted) (2017), Arxiv:1508.00290.

Dr. Jonathan Goldfarb, graduated with Ph.D. degree in Applied Mathematics in May, 2016

  • Dissertation: On the Optimal Control of the Free Boundary Problems for the Second Order Parabolic Equations, May, 2016, Florida Institute of Technology.
  • U.G. Abdulla and J.Goldfarb, Frechet differentability in Besov spaces in the optimal control of parabolic free boundary problems, Inverse and Ill-posed Problems (Submitted) (2016), Arxiv:1604.00057.

Dr. Naveed Iqbal, graduated with Ph.D. degree in Applied Mathematics in May, 2017

  • Dissertation: On the Classification of the Second Minimal Orbits of the Continuous Endomorphisms on the Real Line and Universality in Chaos,
  • U.G. Abdulla, R.U. Abdulla, M.U. Abdulla and N.H. Iqbal Second Minimal Orbits, Sharkovski Ordering and Universality in Chaos, International Journal of Bifurcation and Chaos, Volume 27, Number 5, May 2017, Arxiv:1610.00814.
  • U.G. Abdulla, R.U. Abdulla, M.U. Abdulla, N.H. Iqbal Classification of the Second Minimal Odd Periodic Orbits in the Sharkovskii Ordering, SIAM Journal on Applied Dynamical Systems (Submitted) (2017), Arxiv:1701.02695

Ms. Roqia Jeli, Ph.D. student in Applied Mathematics, expected graduation in Fall 2017

  • Dissertation: On the Qualitative Theory of the Nonlinear Parabolic p-Laplacian Type Reaction-Diffusion Equations,
  • U.G. Abdulla and R. Jeli, Evolution of Interfaces for the Nonlinear Parabolic p-Laplacian Type Reaction-Diffusion Equations, European Journal of Applied Mathematics, to appear in 2017. Arxiv:1605.07279.

Evan Cosgrove, Ph.D. student in Applied Mathematics

  • U.G. Abdulla, E. Cosgrove, J. Goldfarb On the Frechet Differentiability in Optimal Control of Coefficients in Parabolic Free Boundary Problems, Evolution Equations and Control Theory, Volume 6, Number 4, 2017.