Patrick Gerard (Orsay)
The half-wave maps equation and Hankel operators
I will introduce an energy critical
quasilinear hyperbolic evolution system on maps from the line
into the two-dimensional sphere.
I will show that this system admits a Lax pair involving
Hankel operators with some matrix symbols, and I will stress
some consequences of this result for the corresponding dynamics.
This is a joint work with Enno Lenzmann (Basel).