María Aguareles Address: Departament de Matemàtica Aplicada I ETS. d'Enginyeria Industrial de Barcelona Universitat Politècnica de Catalunya Avda. Diagonal, 647 08028 Barcelona. Espanya-Spain Phone: +34-934-017-427 Fax:     +34-934-011-713 E-mail: maria.aguareles @ (upc.edu)

Research:

    Fields of interest:

• Partial Differential Equations: reaction-diffusion equations, vortices and spiral waves in the complex Ginzburg-Landau equation.
• Industrial mathematics, mathematical models in physics and physiology.
• Asymptotic methods for Partial Differential Equations.
  

• Spiral Waves in Complex Ginzburg-Landau equation:
• Summary of the PHD thesis project: ps file

 
• Seminar on Calculus of Variations:
• Some results on Sobolev spaces:  pdf file (catalan)
• Introducction to Hamilton-Jacobi equations: pdf file (catalan)
• Introducction to the analytic theory of global bifurcation. Motivation and examples II: pdf file (catalan)
• Aplication of the Mountain Pass theorem to the analysis of a non-linear eliptic PDE: pdf file (catalan)
• Degree theory in Banach spaces, exemple of application to an eliptic problem

Docència:
 

Horaris de consulta, 1r quadrimestre, curs 2006-2007: a convenir.

• Fonaments de Matemàtiques (Màster d'Enginyeria Biomèdica), curs 2006-2007:
• Introducció als nombres complexes:
• Apunts (arxiu pdf)
  
• Exercicis (arxiu pdf)
  
• Integració de funcions:
• Transformades de Laplace:
• Introducció a les equacions diferencials:
  

Others:

Some interesting links:

• Research group in partial differential equations  and applications
• Oxford Centre for Industrial and Applied Mathematics (OCIAM)
• The European Consortium for Mathematics in Industry (ECMI)