CIMPA-DKR-2016

Details

Written by Daouda Niang Diatta

Geometrical Analysis of Optimal Shapes.

• Place : University Cheikh Anta Diop of Dakar, Senegal.

• Date : From May 2th to the 12th, 2016

• Directors : Antoine Henrot : Professeur, Institut Elie Cartan Université de Lorraine, France

                        Diaraf Seck : Professeur, Université Cheikh Anta Diop, Sénégal.
  
  

• Scientific Committee :
  1. Michel Pierre, Ecole Normale Supérieure de Rennes et IRMAR (France)

  2. Catherine Bandle, University of Basel (Suisse)

  3. Bruno Colbois, Université de Neuchatel (Suisse)

  4. Maria Hernandez-Cifre, Universidad de Murcia, (Espagne)

  5. Giuseppe Buttazzo, Université de Pise (Italie)

• Local Organization Committee :  
  1. Faguèye Ndiaye, UCAD, membre de la commission logistique et restauration:  This email address is being protected from spambots. You need JavaScript enabled to view it.
  2. Soulèye Kane, UCAD, Chargé du logement et logistique: This email address is being protected from spambots. You need JavaScript enabled to view it.
  3. Idrissa Ly, UCAD, Coordonnateur du Comité d'organisation: This email address is being protected from spambots. You need JavaScript enabled to view it.
  4. Babacar Mbaye Ndiaye, UCAD, Chargé de la logistique et restauration: This email address is being protected from spambots. You need JavaScript enabled to view it.
  5. Papa Ngom, UCAD, Chargé des finances:  This email address is being protected from spambots. You need JavaScript enabled to view it.
  
  

• Description : Geometrical Analysis of Optimal Shapes is a topic in mathematics that is at the intersection of Analysis and Geometry. A lot of questionings are related to physics, mechanics and biology. And these last years intensive research activities (in the theory and in the numerical point of view) have been realized. It appears that a good training in Analysis and in some Geometric aspect are necessary for a well understanding of the stated problems. The main scientific challenge in this topic is the qualitative study of optimal shapes for some classes of shape functionals involving partial differential equations and/or geometric quantities associated naturally with shapes: measure, perimeter, curvature. Another interesting questioning is how to handle non smooth or singular shapes (with or without constraints), to understand the minimal regularity under which one can extract information from the optimality conditions, to prove this regularity and finally to obtain qualitative information about the optimal shape. The aim of this school was to give opportunities to young researchers and even to some interested senior researchers to keep in touch with existing networks and to be trained in the theory and in the numerical methods in order to enforce the already existing group in Analysis and Geometry of researchers in NLAGA Project.

• Lectures and talks given during the research school:

  1. Existence of Solution in Shape Optimization by Jimmy Lamboley, Université Paris Dauphine (France)
     
  2. Convex Geometry by Andrea Colesanti, University of Firenze (Italy)
     
  3. Regularity in Shape Optimization by Michel Pierre École Normale Supérieure de Rennes et Institut de Recherche Mathématique de Rennes (France)
     
  4. Spectral Geometry by Bruno Colbois, Université de Neuchatel (Suisse)
     
  5. Isoperimetric Inequalities by Catherine Bandle, Université de Basel (Suisse)
     
  6. Numerical Methods in Shape Optimization by Virginie Bonnaillie- Noël, CNRS-DMA, ENS Ulm, Paris (France).  

During the CIMPA research school several talks have been done by senior researchers and junior ones :

• Unbounded periodic domains-solutions to Serrin’s over determined problem par Ignace Aristide Minlend, AIMS Senegal, PhD student at university Cheikh Anta Diop de Dakar.

• Detection of incomplete parameter for a nonlinear population dynamics model par Yacouba Simporé, Docteur university Ouaga 1 Professeur Joseph Ki Zerbo, Burkina Faso.

• Weighted Eigenvalue Problems with Mixed Steklov-Dirichlet Boundary Conditions by Jonas Doumate, University Abomey Calavi, Cotonou- Benin.

• pCompliance par Al hassem Nayam, University of Ndiamena, Tchad.

• Optimizing the first nonzero Neumann eigenvalue on the cylinder by

  Mouhamadou Moustapha Fall, AIMS Senegal.

• Coupling the Shallow Water Equation with a Long Term Dynamics of Sand Dunes par Mouhamadou Aliou Mountaga Tall Balde, PhD student at university Cheikh Anta Diop de Dakar.

• Equations intégro-différentielles impulsives de type non local temps fixe dans les espaces de Banach par Mouhamadou Alpha Diallo, PhD student at university Cheikh Anta Diop de Dakar.

• Minimisation de l’inégalité de Hardy-Sobolev sur une variété Riemannienne compacte de dimension 3: par EL Hadji Abdoulaye Thiam, AIMS Senegal PhD student at university Cheikh Anta Diop de Dakar.

• Valeurs propres du Laplacien sur les domaines bornées et sur les hy- persurfaces compactes par Ahmad El Soufi, University of Tours, France facilitator of CIMPA.

• Currential Approches to the Mellin in Non-Archimedean framework by Ibrahim Hamidine PhD student at university Assane Seck of Ziguinchor, Senegal.