CIMPA School and Workshop on

NONLINEAR EVOLUTION EQUATIONS AND APPLICATIONS

Hammamet, Tunisia

March 22-31, 2012

Objectives:

The nonlinear evolution equations have many applications, in particular in physics, chemistry and biology. This domain interests a wide mathematical community in the world. Besides the theoretical aspects, the modelling has numerous applications and became a major tool in nonlinear evolution equations. It is now considered as about an important domain of development. The various recent mathematical methods and the last most significant progress in this domain need to be exchanged and developed with the countries of North Africa, the Mediterranean Basin and the other nearby countries.

The school aims at presenting the results and the recent developments on nonlinear evolution equations. It aims at allowing the researchers and the students of Master's degree level to acquire a basic training in the theory of evolution equations in its theoretical and practical aspects. This school will cover a wide class of evolution equations including parabolic PDE, hyperbolic PDE, fluid mechanics and the applications in biology. The school will constitute a very interesting thematic opening for the young researchers. It will also be a tremendous tool of exchange between researchers worldwide.

Organizing committee:

Mohamed Ali Jendoubi (University of Carthage, Tunisia) ma.jendoubi@fsb.rnu.tn

Nader Masmoudi (Courant Institute of Mathematical Sciences, USA) masmoudi@courant.nyu.edu

Slim Tayachi (University Tunis El Manar, Tunisia) slim.tayachi@fst.rnu.tn

Hatem Zaag (CNRS, University Paris Nord, France) Hatem.Zaag@univ-paris13.fr

Date and location:

March 22-31, 2012, Hammamet, Tunisia

Scientific program:

I) Mini-courses

  1. 1) Vincent Calvez (UMPA, ENS Lyon, France): "Parabolic and kinetic models for self-organization in cell populations"

  2. 2) Raphaël Danchin (University Paris-Est-Créteil, France) : "A survey on Fourier analysis methods for solving the compressible Navier-Stokes equations"

  3. 3) E. Feireisl (University of Prague, Czech Republic): "Mathematical theory of complete fluid systems"

  4. 4) Felix Otto (Max-Planck-Institut für Mathematik, Germany) : "The thin film equation"

  5. 5) Michael Struwe (ETH-Zrich, Switzerland) : " Nonlinear wave equations"

  6. 6) Fred B. Weissler (University Paris 13, France) ) : " Multi-profile, multi-scale global solutions of heat equations on RN "

II ) Invited Speakers:

Lucilla Corrias (University d'Evry Val d'Essonne, France)

Khalil Ezzinbi (University Cadi Ayyad, Morocco)

Marek Fila (Comenius University, Slovakia)

Slim Ibrahim (University of Victoria, Canada)

Stéphane Jaffard (University Paris-Est-Créteil, France)

Otared Kavian (University of Versailles-Saint Quentin, France)

Hans Knüpfer (Bonn University, Germany)

Yvan Martel (University of Versailles-Saint Quentin, France)

Hiroshi Matano (University of Tokyo, Japan)

Mohamed Majdoub (University Tunis El Manar, Tunisia)

Benoît Perthame (University Pierre et Marie Curie, France)

Pavol Quittner ( Comenius University, Slovakia)

Yomna Rebai (University of Carthage, Tunisia)

Julio D. Rossi (IMDEA Matematicas, Spain)

Philippe Souplet (University Paris 13, France)

Edriss S. Titi (University of Irvine, USA)

Background of participants:

Differential calculus, Ordinary differential equations, Distributions, Fourier analysis.

Deadline for registration:

December 11, 2011

Applicants from Tunisia must contact the local organizers: Mohamed Ali Jendoubi (ma.jendoubi@fsb.rnu.tn) , Slim Tayachi (slim.tayachi@fst.rnu.tn)