Short biography
Assistant and Associate Professor at Universidad de Granada 1992-2003.
Lecturer at University of Texas at Austin 1999-2000.
ICREA Research Professor 2003-2012 at the Universitat Autònoma de Barcelona.
Since October 2012, Chair in Applied and Numerical Analysis at Imperial College London, UK.
Richard Von-Mises Prize 2006.
Wolfson Research Merit Award by the Royal Society 2012-2017.
Author of more than 100 publications. Multiple invited addresses at international conferences and seminars.
Organiser of international conferences (SIAM-RSME-SCM-SEMA Joint Meeting DSPDEs'10-Barcelona) and training schools (Universidad Internacional Menéndez Pelayo-Santander, Centre de Recerca Matemàtica-Barcelona).
Coordinator of Research Thematic Programs: Wolfgang Pauli Institute-Vienna-Austria, Institute for Pure and Applied Mathematics-UCLA-USA, Centre de Recerca Matemàtica-Barcelona, and Isaac Newton Institute-Cambridge-UK. Research interests
My research field is Partial Differential Equations (PDEs). They constitute the basic language in which most of the laws in physics or engineering can be written and one of the most important mathematical tools for modelling in life and socio-economical sciences. The modelling based on PDEs, their mathematical analysis, the numerical schemes and their simulation in applications are my everyday work. More specifically, my expertise comprises long-time asymptotics, qualitative properties and numerical schemes for nonlinear diffusion, hydrodynamic, and kinetic equations in the modelling of collective behaviour of many-body systems such as rarefied gases, granular media, charge particle transport in semiconductors, or cell movement by chemotaxis. Key words
Partial Differential Equations: analysis, modelling and numerics.