Jesús Ildefonso Díaz is a Spanish mathematician who works in partial differential equations. He is Professor at Complutense University of Madrid (UCM) (1982) and a member of the Spanish Royal Academy of Sciences (1997). He is also Doctor "Honoris Causa" from the University of Pau and Pays de l'Adour (1996).

Professor Díaz has worked intensively in many areas of Applied Mathematics, such as theoretical and applied aspects of Nonlinear partial differential equations, in Fluid Mechanics models (including Plasma Physics), Geophysical models (Climatology, Glaciology, Viscoelastic gravity-layers,..), Reaction-Diffusion models, Elasticity and Homogenization models, Control theory models, among several others (Semiconductors, Ginzburg-Landau and Nonlinear Schrödinger Equations). He has also worked in nonlinear analysis tools, closer to Pure Mathematics, such as accretive operators, rearrangement, gradient estimates, etc. Other different activities include contributions in Science History, Divulgation and Scientific Management.
Concerning research (at December, 2014), he has more than 200 papers in research journals, 140 contributions published in Proceedings of meetings, 7 books and memoirs, 8 chapters in books, and he has been one of the editors in 20 books . On scientific divulgation, he has 37 articles, 2 memoirs, 2 contributions to published Proceedings and 20 chapters in books. In his list of publications he has more than 175 collaborators. He received the influence of many teachers and colleagues: Alberto Dou, Haïm Brezis, his PhD Thesis advisors, Philippe Benilan and Jacques Louis Lions, among them.
From 1979, he has been advisor of 20 PhD Dissertations (all of them at Univ. Complutense de Madrid) with 77 descendants.

Google Scholar

• Alvarez, L., Díaz, G. & Díaz, J. I. (2016). Some qualitative properties for geometric flows and its Euler implicit discretization. Nonlinear Analysis: Theory, Methods & Applications, 137, 43-76 [Bibtex] [Online version]