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Local well-posedness and smoothing of MMT kinetic wave equation
PDE and Applied Math Seminar| Speaker: | Joonhyun La, Princeton/ KIAS |
| Location: | Zoom https://ucdavis.zoom.us/j/92430148899 |
| Start time: | Thu, Oct 19 2023, 4:10PM |
In this talk, I will prove local well-posedness of kinetic wave equation arising from MMT equation, which is introduced by Majda, Mclaughlin, and Tabak and is one of the standard toy models to study wave turbulence. Surprisingly, our result reveals a regularization effect of the collision operator, which resembles the situation of non-cutoff Boltzmann. This talk is based on a joint work with Pierre Germain (Imperial College London) and Katherine Zhiyuan Zhang (Northeastern).