Local Well-posedness for the Kinetic MMT Model
Analysis of PDEs
2023-10-19 v1
Abstract
The MMT equation was proposed by Majda, McLaughlin and Tabak as a model to study wave turbulence. We focus on the kinetic equation associated to this Hamiltonian system, which is believed to give a way to predict turbulent spectra. We clarify the formulation of the problem, and we develop the local well-posedness theory for this equation. Our analysis uncovers a surprising nonlinear smoothing phenomenon.
Cite
@article{arxiv.2310.11893,
title = {Local Well-posedness for the Kinetic MMT Model},
author = {Pierre Germain and Joonhyun La and Katherine Zhiyuan Zhang},
journal= {arXiv preprint arXiv:2310.11893},
year = {2023}
}