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Invariant measures for the periodic derivative non-linear Schrödinger equation

Giuseppe Genovese
Institution: 
University of Zurich
Location: 
A-136
Schedule: 
Thursday, February 2, 2017 - 09:30 to 11:00
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).

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