Seminario di equazioni differenziali e applicazioni: “Weak turbulence”

Martedì 4 Dicembre 2018, ore 12:30 - Aula 2AB40 - Anne Sophie de Suzzoni


Martedì 4 Dicembre 2018 alle ore 12:30 in Aula 2AB40, Anne Sophie de Suzzoni (Ecole Polytecnhique) terrà un seminario dal titolo “Weak turbulence”.

Wave turbulence is the study of the evolution of the statistics of random waves. Weak turbulence corresponds to taking an equation, coming from hydrodynamics or quantum mechanics, which is weakly nonlinear, that is, we let it nonlinearity go to zero in a certain regime. One aim of this talk is to present the first aspects of the theory of weak turbulence from a mathematical physics point of view, explain what intrinsically nonlinear behavior it describes, its link with resonnances and the growth of Sobolev norms. We will then present some rigorous results and perspectives. One aim is to instroduce the computaional tool of Feynmann diagrams in this context, its relevance and importance in fully developing the mathematical study of weak turbulence.
We will discuss a joint work with Nikolay Tzvetkov and an ongoing project with Zaher Hani.

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