Invariant Measures for the derivative nonlinear Schrödinger equation

CDSNS Colloquium
Monday, March 12, 2018 - 11:15am
1 hour (actually 50 minutes)
skiles 005
University of Zurich

The derivative nonlinear Schrödinger equation (DNLS) is an integrable, mass-critical PDE. The integrals of motion may be written as an infinite sequence of functionals on Sobolev spaces of increasing regularity. I will show how to associate to them a family of invariant Gibbs measures, if the L^2 norm of the solution is sufficiently small (mass-criticality). A joint work with R. Lucà (Basel) and D. Valeri (Beijing).