Professor of Applied Mathematics
Department of Mathematics

* Postal Address:
Departamento de Matemáticas
Universidad Autónoma de Madrid
Campus de Cantoblanco, 28049 Madrid, SPAIN

* Building  C-XV, Office # 406,

juanluis.vazquez  at 91 497 49 35  91 497 48 89


Juan Luis Vázquez Suárez version  Some papers   Preprints                       Courses, books and notes  Mathematical and expository writing

Research Interests

Research area: nonlinear  partial differential equations arising in the applied sciences.
Special topics:
point.gifNonlinear parabolic  and elliptic equations. Nonlinear diffusion and heat propagation.
point.gifFree boundaries. Selfsimilarity. Asymptotic methods.  Blow-up.

We have a research project  Nonlinear
partial differential equations: diffusion, blow-up and free boundaries,  funded by the Spanish Ministry for Education (MEC)


Institutional interests

*  Member of the Directing Board of the Confederation of Spanish Scientific Societies (COSCE), 2004-2009. COSCE


*  Until June 2010 president of the Scientific Committee of Real Sociedad Matemática Española RSME


* Nominated in 2012 Fellow of the American Mathematical Society AMS


* Nominated in May 2013 Numerary Academician of the Real Academia de Ciencias Exactas, Físicas y Naturales RAC   Main recent research activities


* Semester Programme at Newton Institute    Free Boundary Problems  in Cambridge, UK,  January to July, 2014. Coorganizer

* Summer Course UIMP 2012   Frontiers of Mathematics and Applications  in Santander (Spain),  August 13-17, 2012.

* Corso Estivo di Matematica Cortona 2012   Trends in Nonlinear Elliptic and Parabolic Equations, Scuola Matematica Interuniversitaria,  in Cortona (Italy),  July 16-28, 2012.

* Workshop Recent Trends in Nonlinear Diffusion, Centro Ennio De Giorgi  Pisa (Italia), 2-6 July 2012

*  Summer School Topics in Nonlinear Parabolic Equations, Centro Ennio De Giorgi  Pisa (Italia), 2-6 July 2012

* Free Boundary Problems, Theory and Applications,  MSRI, Berkeley,   January 10, 2011 to May 20, 2011.

* Summer Course UIMP 2011   Frontiers of Mathematics and Applications  in Santander (Spain),  August 15-19, 2011.

* Workshop  Nonlinear PDEs and Functional Inequalities   Madrid (Spain) September 19-20, 2011  


 imagen de ICM2006

Madrid, 22-30 Agust 2006.
The great event of the international mathematical community
                 organized by the 
International Mathematical Union   (IMU),     
                                     It is held every 4 years. First ICM: Zurich, 1897.  
          A famous ICM:  Paris 1900.
See complete list

* My article appeared in Proceedings of ICM2006
   "Perspectives in Nonlinear Diffusion. Between Analysis, Physics and Geometry" 

*The slides of my talk at ICM slidespdf   My books 2006    Activities and conferences

To  think about

"If I have seen further it is by standing on the

 shoulders of Giants." 

Isaac Newton  Social life                                                      
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