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JISD2008

7th JORNADES D'INTRODUCCIO ALS SISTEMES DINAMICS I A LES EDP'S (JISD2008)

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18/02/2008 a 18:05 fins a 22/02/2008 a 18:05 (Europe/Madrid / UTC100)

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room 102 of the FME building. Barcelona

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Announcement of the seventh
JORNADES D'INTRODUCCIÓ ALS SISTEMES DINÀMICS I A LES EDP'S (JISD2008)

Barcelona, February 18-22, 2008

The seventh edition of the JORNADES D'INTRODUCCIÓ ALS SISTEMES DINÀMICS I A LES EDP'S (JISD2008) will be held in Barcelona from February 18th to February 22nd 2008 at the
Universitat Politècnica de Catalunya (UPC).

The JISD2008 will have two courses in Partial Differential Equations and Dynamical Systems.

The courses belong to the Master in Applied Mathematics

These courses are supported by the grant Ayuda de movilidad asociada a los Masters oficiales (UPC),

REGISTRATION FORM     seventhJISD'2008
You can see the courses' schedule here

Contents

February 18-22. Courses will be held in the room 102 of the FME building (Facultat de Matemàtiques i Estadística), at C/ Pau Gargallo, n. 5 Barcelona, 08028.

Course
 Abstract
Asymptotic methods for non-linear diffusion equations

Juan Luis Vázquez (Universidad de Madrid)

(Syllabus)

The aim of the course if to present some aspects of the theory of nonlinear diffusion with emphasis on the asymptotic methods. The use of scaling groups, selfsimilarity and entropy functionals will be stressed.

References:
  1. Vázquez, Juan Luis. "The porous medium equation. Mathematical theory". Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, Oxford, 2007. MR2286292
  2. Vázquez, Juan Luis. "Smoothing and decay estimates for nonlinear diffusion equations. Equations of porous medium type". Oxford Lecture Series in Mathematics and its Applications, 33. Oxford University Press, Oxford, 2006. MR2282669
  3. Gilding, Brian H.; Kersner, Robert. "Travelling waves in nonlinear diffusion-convection reaction". Progress in Nonlinear Differential Equations and their Applications, 60. Birkhäuser Verlag, Basel, 2004. MR2081104
Generic Bifurcations in Dynamical Systems

Marco Antonio Teixeira (Universidade Estatual de Campinas)

(Syllabus)

The main aim is to present some aspects of generic bifurcation of dynamical systems represented by vector fields defined in a manifold. Discussion on the Thom-Smale program will be developed.

References:

  1. Garcia, R. and Teixeira M.A. Vector fields in manifolds with boundary and reversibility-an expository account : Qualitative Theory of Dynamical Systems, V.4, (2004), 311-327.
  2. J. Sotomayor , Introduction al estúdio de lãs bifurcaiones de los sistemas dinâmicos,, VII ELAM, Caracas Venezuela, 1984.
  3. J. Sotomayor, Generic one-parameter familes of vector fields on 2-dimensional manifolds, Public. IHES, Vol. 43, 1974.
  4. Teixeira, M.A., Generic bifurcation on manifolds with boundary, JDE, V. 25, 1, 1977.


(*) For further details, please contact Prof. Xavier Cabré (xavier.cabreupc.edu),