Research Group:
Speaker:
Giuseppe Genovese
Institution:
University of Zurich
Schedule:
Thursday, February 2, 2017 - 09:30 to 11:00
Location:
A-136
Abstract:
The derivative non-linear Schrödinger equation (DNLS) is a one-dimensional PDE for which there is a sequence of functionals, linearly independent and in involution, formally invariant along the flow. In the periodic setting, we show how to construct functional (Gibbs) measures supported on Hilbert-Sobolev spaces of increasing regularity associated to these integrals of motion and prove the invariance of these measures under the flow of DNLS. A joint work with R. Lucà (Basel) and D. Valeri (Beijing).