Juan Luis Vázquez Suárez

**Juan Luis Vázquez Suárez** , ye caderalgu de matemática aplicada nel Departamentu de Matemátiques de la Facultá de Ciencies de la Universidá Autónoma de Madrid. Impartió clases d'ecuaciones diferenciales y la de mecánica de fluyíos na llicenciatura de matemátiques ente otres.

## Biografía
Ente los años 1964/69 realiza estudios de Telecomunicaciones na Escuela Téunica Cimera d'Inxenieros de Telecomunicación de Madrid. Llicenciáu en Matemátiques pola Universidá Complutense de Madrid llogró'l doctoráu na mesma en 1979. Mientres dos años 1996/98 foi presidente de la Sociedá Española de Matemática Aplicada (SEMA). Destacáu investigador n'árees concretes de les matemátiques como les Ecuaciones en derivaes parciales non lliniales y les sos aplicaciones. 

Ye autor de numberosos artículos d'investigación en publicaciones científiques como Archive for Rational Mechanics and Analysis, Communications in Pure and Applied Mathematics, Journal de mathématiques pures et appliquées, Advances in Mathematics y otres.

Foi nomáu en 2003 na llista de Thomson Reuters Highly Cited Scientist 2003 y llogró el Premiu Nacional de Investigación Julio Rey Pastor tamién en 2003.

Participó como conferenciante plenariu nel Congresu Internacional de Matemáticos nel añu 2006 (ICM2006) cola conferencia titulada *Nonlinear espardimientu, from analysis to physics and geometry.*

En 2012 foi nomáu Fellow d'American Mathematical Society.

En 2014 foi investido miembru numerario de la Real Academia de Ciencies Exactes, Físiques y Naturales española

## Llibros

* The Porous Medium Equation. Mathematical Theory. Oxford University Press, ISBN 0-19-856903-3, ISBN 978-0-19-856903-9, Publication date: october 2006, Clarendon Press, 648 pages, 234x156 mm. Series: Oxford Mathematical Monographs.

* Smoothing and Decay Estimates for Nonlinear Diffusion Equations. Equations of Porous Medium Type. Oxford University Press, ISBN 0-19-920297-4, ISBN 978-0-19-920297-3,August 2006, 248 pages, 234x156 mm, Oxford Lecture Series.

* A Stability Technique for Evolution Partial Differential Equations. A Dynamical Systems Approach. PNLDE 56 (Progress in Non-Linear Differential Equations and Their Applications), Birkhäuser Verlag, 2003, 391 pages.(with V.A. Galaktionov.)

* Recent Trends in Partial Differential Equations.American Mathematical Society, ISBN 0-8218-3891-1 ISBN 978-0-8218-3891-4 Publication date: 31 August 2006, 123 pages,Series: Contemporary Mathematics number 409; (with X. Cabré and J.A. Carrillo)

## Publicaciones más relevantes en revistes internacionales

**1.** Thermal avalanche for blowup solutions of semilinear heat equations, Comm. Pure Appl. Math. 57 (2004), non. 1, 59--98 (with F. Quirós and J.D. Rossi.)

**2.** Geometrical properties of solutions of the porous medium equation for large times, Indiana Univ. Math. J. 52 (2003), non. 4, 991--1016 (with K-A. Lee.)

**3.** The Hardy inequality and the asymptotic behaviour of the heat equation with
an inverse-square potential, J. Funct. Añal. 173 (2000), non. 1, 103--153
(with Y. Zuazua.)

**4.** Continuation of blowup solutions of nonlinear heat equations in several space dimensions, Comm. Pure Appl. Math. 50 (1997), non. 1, 1--67 (with V.A. Galaktionov.)

**5.** Blow-up solutions of some nonlinear elliptic problems, Rev. Mat. Univ. Complut. Madrid 10 (1997), non. 2, 443--469 (with H. Brezis.)

**6.** An L1-theory of existence and uniqueness of solutions of nonlinear elliptic equations, Ann.
Scuola Norm. Sup. Pisa Cl. Sci. (4) 22 (1995), non. 2, 241--273
(with P. Benilan, L. Boccardo, T. Gallouët, R. Gariepy, M. Pierre.)

**7.** A free-boundary problem for the heat equation arising in flame propagation, Trans. Amer. Math. Soc. 347 (1995), non. 2, 411--441 (with L.A. Caffarelli.)

**8.** On the stability or instability of the singular solution of the semilinear heat equation
with exponential reaction term, Arch. Rational Mech. Añal. 129 (1995), non. 3, 201--224
(with I. Peral.)

**9.** Nonexistence of solutions for nonlinear heat equations of fast-diffusion type, J. Math. Pures Appl. (9) 71 (1992), non. 6, 503--526

**10.** Asymptotic behaviour of nonlinear parabolic equations with critical exponents.A dynamical systems approach, J. Funct. Añal. 100 (1991), non. 2, 435--462 (with V.A. Galaktionov.) 

**11.** Eventual C^\infty-regularity and concavity for flows in one-dimensional porous media, Arch. Rational Mech. Añal. 99 (1987), non. 4, 329--348
(with D.G. Aronson.)

**12.** A strong maximum principle for some quasilinear elliptic equations, Appl. Math. Optim. 12 (1984), non. 3, 191--202

**13.** Asymptotic behaviour and propagation properties of the one-dimensional flow of gas in a porous medium, Trans. Amer. Math. Soc. 277 (1983), non. 2, 507--527

## Ver tamién
*Premiu Nacional d'Investigación

## Referencies

## Enllaces esternos
*Páxina personal
*Mathematics Genealogy Project
*Departamentu de Matemátiques