STABILITY AND CASCADES FOR THE KOLMOGOROV-ZAKHAROV SPECTRUM OF WAVE TURBULENCE

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• Helge Dietert, Université Paris Diderot
• Monday 13 November 2023, 14:00-15:00
• MR13.

If you have a question about this talk, please contact Amelie Justine Loher.

The kinetic wave equation arises in wave turbulence to describe the Fourier spectrum of solutions to the cubic Schrödinger equation. We will consider the isotropic case which has similarities with the Boltzmann equation but has a cubic structures. Here I will introduce the known stationary states and the expected cascade behaviour. Finally, I will present a first result for a non-trivial out-of-equilibrium steady state. j/w CHARLES COLLOT and PIERRE GERMAIN

This talk is part of the Partial Differential Equations seminar series.

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