Day by day programme
Monday, July 1st
08:30-09:30
Reception of participants
09:30-11:00
Opening session
11:00-11:30 Coffee break
11:30-12:20 John Ball (Mathematical
Institute, Oxford)
The Euler-Lagrange equation and minimizers in elastostatics
14:30-15:20 Luigi Ambrosio (Scuola Normale
Superiore, Pisa)
Existence of optimal maps in the Monge-Kantorovich transport problem
15:30-16:20 Mathias Fink (ESPCI, Paris)
Time-reversed acoustics
16:30-17:00 Coffee break
17:00-17:50 Mark Vishik (Institute for Information
Transmission Problems, Moscow)
Trajectory and global attractors for evolutionary equations
Tuesday, July 2nd
09:00-09:50 Jean-Christophe Yoccoz
(Collège
de France, Paris)
Homoclinic bifurcations of surface diffeomorphisms
10:00-10:50 Marie-Paule Cani (INPG, Grenoble)
Efficient animation of natural scenes for computer graphics
11:00-11:30 Coffee break
11:30-12:20 Thomas Hou (Caltech, Pasadena)
Multiscale modeling and computation of incompressible flows
14:30-15:20 Jean-Michel Coron (Université
Paris-Sud, Orsay)
Return method and flow control
15:30-16:20 Olivier Faugeras (INRIA,
Sophia-Antipolis)
On the well-posedness of several problems in computer vision
16:30-17:00 Coffee break
17:00-17:50 George Papanicolaou (Stanford
University)
Time-reversal, imaging and communications in random media
Wednesday, July 3rd
09:00-09:50 Luis Caffarelli (University
of Texas, Austin)
Nonlinear equations in random media
10:00-10:50 Michael Ghil (UCLA, Los Angeles)
Bifurcations and pattern formation in the atmosphere and oceans
11:00-11:30 Coffee break
11:30-12:20 Rolf Rannacher (Universität
Heidelberg)
Duality techniques in error control and optimization for PDEs
14:30-15:20 François Baccelli (INRIA,
Rocquencourt
& Ecole Normale Supérieure, Paris)
A probabilistic model of congestion control in the Internet
15:30-16:20 Eitan Tadmor (UCLA, Los Angeles &
University of Maryland, College Park)
Critical thresholds in restricted Euler dynamics
16:30-17:00 Coffee break
17:00-17:50 Alexandre Chorin (University of California,
Berkeley)
Conditional expectations and the renormalization group
18:00-18:50 Srinivasa Varadhan (New York
University)
Large deviations, variational formulas and nonlinear equations
Thursday, July 4th
09:00-09:50 Panagiotis Souganidis (University of
Texas, Austin)
Fully nonlinear stochastic partial differential equations:
theory and applications
10:00-10:50 Cédric Villani (Ecole Normale
Supérieure, Lyon)
H theorem and convergence to equilibrium
for solutions of the Boltzmann equation
11:00-11:30 Coffee break
11:30-12:20 Enrique Zuazua (Universidad Complutense,
Madrid)
Controllability of some partial differential equations
14:30-15:20 Benoît Perthame (Ecole Normale
Supérieure, Paris)
Mathematical questions along the flow of a river
15:30-16:20 Anthony Patera (MIT, Cambridge Ma)
Reduced-basis output bounds: reliable real-time solution
of parametrized partial differential equations
16:30-17:00 Coffee break
17:00-17:50 Lawrence Evans (University of California,
Berkeley)
PDE methods for weak KAM theory
Friday, July 5th
09:00-09:50 Andrew Majda (New York University)
From the ocean to Jupiter to the truncated Burgers-Hopf equation:
novel applications and mathematical issues for statistical mechanics
10:00-10:50 Franco Brezzi (Istituto di Analisi Numerica
del CNR, Pavia)
Mathematical aspects of the chimera methods
11:00-11:30 Coffee break
11:30-12:20 Louis Nirenberg (New York University)
On the distance function to the boundary, cut locus
and some Hamilton-Jacobi equations
A la mémoire de Jacques-Louis Lions