09:00
10:00
11:00
12:00
13:00
14:00
15:00
16:00
17:00
18:00
19:00
20:00
21:00
9:00 - 10:30 (1h30)
Patrick Gérard -------------------- Integrable equations of Benjamin-Ono type
In this mini-course, I will study two integrable
nonlinear dispersive equations on the line : the Benjamin-Ono equation
and the more recently introduced Calogero-Moser derivative
nonlinear Schrödinger equation.
The following topics will be discussed.
1. Local wellposedness in Sobolev spaces, Lax pair, explicit formulae.
2. Conservation laws and global wellposedness.
3. Traveling waves and multi-solitons.
4. Zero-dispersion limit.
›10:30 (30min)
10:30 - 11:00 (30min)
Pause café
›11:00 (1h)
Yannick Bonthonneau ----------------------- Inverse analytic scattering
Let M be Riemannian manifold with boundary. For z=(x,v) an incoming vector on the boundary, we denote by S(x,v) the tangent vector to the geodesic starting from z, at its next point of intersection with the boundary. If M is supposed analytic, under geometric and dynamical assumptions, the geodesic scattering map S determines M, even without prior knowledge of its topology.
Let M be Riemannian manifold with boundary. For z=(x,v) an incoming vector on the boundary, we denote by S(x,v) the tangent vector to the geodesic starting from z, at its next point of intersection with the boundary. If M is supposed analytic, under geometric and dynamical assumptions, the geodesic scattering map S determines M, even without prior knowledge of its topology.
11:00 - 12:00 (1h)
Yannick Bonthonneau ----------------------- Inverse analytic scattering
Let M be Riemannian manifold with boundary. For z=(x,v) an incoming vector on the boundary, we denote by S(x,v) the tangent vector to the geodesic starting from z, at its next point of intersection with the boundary. If M is supposed analytic, under geometric and dynamical assumptions, the geodesic scattering map S determines M, even without prior knowledge of its topology.
›12:15 (1h15)
12:15 - 13:30 (1h15)
Déjeuner
›13:30 (3h30)
13:30 - 17:00 (3h30)
Visite du laboratoire souterrain de Modane
Visite du laboratoire souterrain de Modane
›19:30 (1h30)
19:30 - 21:00 (1h30)
Dîner
