About Miguel Urbano Miguel Urbano Professor, Applied Mathematics and Computational Science 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. Articles Related News February 2026 The invisible architect 4 min read · Sun, Feb 8 2026 Spotlight News Research in Focus free boundary problems nonlinear PDEs regularity theory Most people never see the mathematics running beneath modern life. CEMSE Professor Miguel Urbano is making sure it works when it matters most.
The invisible architect 4 min read · Sun, Feb 8 2026 Spotlight News Research in Focus free boundary problems nonlinear PDEs regularity theory Most people never see the mathematics running beneath modern life. CEMSE Professor Miguel Urbano is making sure it works when it matters most.
Engage KAUST Repository ORCID Web of Science Scopus ShareClipboard Related Sites Applied Mathematics and Computational Science (AMCS) Advances in nonlinear elliptic and parabolic pdes (NLPDES) Free Boundary and Interface Problems (FBIP) Related Content Articles 1 Events 1 Related Links Miguel Urbano on MathSciNet
