Gigliola Staffilani: Some Mathematically Rigorous Results in Wave Turbulence Theory (Dec. 4, 2025)
This talk gives an overview of some old and new mathematical advances in wave turbulence theory. We start with the original perspective of Bourgain on the study of the energy spectrum for a periodic nonlinear Schrödinger equation via growth of Sobolev norms. Then we move to the wave kinetic equations as effective equations for the energy spectrum, and we give examples of rigorous proofs of condensate growth and energy transfer. Some of the work presented is in collaboration with N. Camps and B. M. Tran. For more information go here: https://www.simonsfoundation.org/even...
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