Qualitative Methods for Hamilton-Jacobi Equations and Applications

Torino, July 4, 2006

Special session at
Mathematics and its applications
a joint SIMAI-SMAI-SMF-UMI meeting

logo
Organizers:
Maurizio Falcone (Università di Roma "La Sapienza")
Regis Monneau (CERMICS-ENPC),
Antonio Siconolfi (Università di Roma "La Sapienza")

Venue:
Dipartimento di Matematica, Politecnico di Torino
Corso Duca degli Abruzzi, 24 - 10129 Torino
Room: to be communicated

Program:
09.00 Introduction
09.05-09.30   Olivier Ley (Tours)
Viscosity solutions and minimizing movements in shape optimization
09.30-09.55 Fabiana Leoni (Roma "La Sapienza")
Maximal solutions of viscous Hamilton-Jacobi equations with degeneracy
10.00-10.25 Annalisa Cesaroni (Padova)
A metric approach to Hamilton-Jacobi equations in bounded domains
10.30-10.55 Roberto Ferretti (Roma Tre)
Time-step adaptation in a Semi-Lagrangian scheme for Mean Curvature Motion
11.00-11.25 coffee break
11.30-11.55 Hasnaa Zidani (ENSTA)
Lower semicontinuous solutions of Hamilton-Jacobi equations with state constraints
12.00-12.25 Olivier Bokanowski (Paris 7)
Numerical approximation for a stochastic control problem with unbounded controls
12.30-12.55 Andrea Davini (Padova)
Bolza problems with discontinuous Lagrangians
13.00-14.00 lunch time
14.00-14.25 Nicolas Forcadel (CERMICS)
Dislocations dynamics and mean curvature motion
14.30-14.55 Elisabetta Carlini (Roma "La Sapienza")
Convergence of a Fast Marching algorithm for the non-convex eikonal equation
15.00-15.25 Aurelien Monteillet (Brest)
Integral formulations of the geometric eikonal equation
15.30-15.55 Graziano Crasta (Roma "La Sapienza")
A variational approach to the macroscopic electrodynamics of hard superconductors
16.00-16.25 Stefano Finzi Vita (Roma "La Sapienza")
A numerical model for growing sandpiles on partially open tables
16.30-16.55 coffee break
17.00-17.25 Cyril Imbert (Montpellier II)
Homogenization of first order equations with (u/epsilon)-periodic Hamiltonians
17.30-17.55 Fabio Camilli (L'Aquila)
Singular perturbations and PDE Aubry-Mather theory
18.00-18.25 Alessio Figalli (ENS Lyon and SNS Pisa)
A problem of Mather and applications in dynamics

Abstracts: PDF file