Welcome to the home page of the research group

"Viscosity solutions and applications"

French version

Members :

Nathael Alibaud, Université de Montpellier 2
Guy Barles, Université de Tours
Pierre Cardaliaguet, Université de Brest
Sebastien Collin, Ecole centrale de Lyon
Christine Georgelin, Université de Tours
Cyril Imbert, Université de Montpellier 2
Olivier Ley, Université de Tours
Aurélien Monteillet, Université de Brest
Elisabeth Rouy, Ecole centrale de Lyon
Ali Srour, Université de Tours
Thierry Tabet Tchamba, Université de Tours

Perspectives

This workshop was founded in 2003. The aim is to organize meetings for people who work on viscosity solutions or who need this theory in their own research. The goal is to be informed of all the new results in this area and to set the main open problems. We are interested both in the theoretical aspects of viscosity solutions and the applications of the theory.

If you are interested, please contact Guy Barles or Olivier Ley

Events

To be announced.

Former events :

• Participation to the international conference New trends in Viscosity Solutions, Lisbon 24-28 July 2006 (scientific committee: Guy Barles (Tours), Italo Capuzzo Dolcetta (Roma)).

• School-Workshop "Moving Boundaries", Lyon 12-16 december 2005, organizers: ACI projects "Mouvements d'interfaces avec termes non locaux" and "Dynamique des dislocations" with minicourses by Y. Giga (Tokyo Univ.), S.J. Osher (UCLA) et P.E. Souganidis (Univ. Texas at Austin).

• Tours, 13-14 octobre 2005.
  Invités : M. Arisawa (Tohoku University, Japon), N. Forcadel (Cermics, Paris) et A. Monteillet (Brest).

• Tours, March 10-11 2005.
  Invited speakers : A. Briani (Pisa), T. Champion (Toulon), N. Forcadel (Cermics, Paris).

• Partner to organize the Workshop ACI Front propagation and partial differential equations, Rouen June 17-18 2004.
  

• Tours, March 31st-April 1st 2004.
  Invited speakers : Martino Bardi (Padova, Italy), Marc Dambrine (Compiègne).

• Viscosity solutions and numerical problems, Tours, January 12-13 2004.
  Invited speakers : Frédéric Bonnans (INRIA), Antonin Chambolle (Polytechnique).

• Viscosity solutions and mathematical finance, Tours, October 27-28 2003.
  Invited speakers : J. Busca (Dauphine), Y. Kabanov (Besançon), H. Pham (Paris 7), N. Touzi (ENSAE).

Links

NEW: ANR national project MICA "Mouvements d'Interfaces, Calcul et Applications". Head of the project: Antonin Chambolle (CMAP -Centre de Mathématiques Appliquées de l'Ecole Polytechnique, Paris), head of the project in Tours: Guy Barles.

The network TMR "Viscosity Solutions and their Applications" is now finished but preprints are still available on the home page of the network. site.

The project ACI "Mouvements d'interfaces avec termes non locaux" . Contact : Elisabeth Rouy (Ecole Centrale de Lyon).

The project ACI "Dynamique des dislocations" . Contact : Régis Monneau (CERMICS, École des Ponts-et-Chaussées, Paris).

Local component of the research group at the University of Tours.

Research interests

Quasilinear parabolic equations, unbounded solutions and geometric equations

Convergence of numerical schemes

Front propagations, geometrical approach and applications

Regularity of viscosity solutions for quasilinear parabolic equations

Boundary conditions in the viscosity sense

Evolution equations with a L¹ time-dependence

Uniqueness properties of viscosity solutions and applications

List of recent publications (--->)