nonlinear PDEs

Miguel Urbano

Professor, Applied Mathematics and Computational Sciences

nonlinear PDEs free boundary problems regularity theory

Professor Urbano’s research interests are in regularity theory for nonlinear partial differential equations, in particular of singular or degenerate type, arising from different applications, like phase transitions, flows in porous media or semi-supervised learning. He is also interested in free boundary problems, focusing on understanding the local behaviour of weak solutions and the geometric properties of interfaces.

Diogo Gomes

Program Chair, Applied Mathematics and Computational Sciences

mean-field games Hamilton-Jacobi equations nonlinear PDEs

Professor Diogo Gomes, a distinguished expert in Applied Mathematics and Computational Science at KAUST, leverages advanced mathematics – including partial differential equations, numerical methods and mean-field game models – to solve complex problems in social sciences, economics and finance