Applied Partial Differential Equations

Katerina Nik

Assistant Professor, Applied Mathematics and Computational Sciences

Applied Partial Differential Equations free boundary problems fluid dynamics

Professor Nik studies partial differential equations that describe phenomena in biological growth processes, fluid dynamics, and mechanical engineering.

Julian David Gutierrez Pineda

Ph.D. Student, Applied Mathematics and Computational Sciences

Applied Partial Differential Equations Applied Machine Learning mean-field games

Julian received both B.S. in Mathematics and B.S. in Engineering from Escuela Colombiana de Ingenieria, Colombia. After receiving his M.Sc. in Mathematical Sciences from Universidad Nacional Autónoma de México, México, he joined Professor Diogo Gomes as a Ph.D. student in applied mathematics at King Abdullah University of Science and Technology, Saudi Arabia. His research interests are primarily optimal control, optimal transport, calculus of variations, partial differential equations, and mean-field games.