动力学 MMT 模型的局部均衡性

IF 2.2 1区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Mathematical Physics Pub Date : 2024-12-18 DOI:10.1007/s00220-024-05205-1

Pierre Germain, Joonhyun La, Katherine Zhiyuan Zhang

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引用次数: 0

摘要

MMT 方程由 Majda、McLaughlin 和 Tabak 提出，作为研究波湍流的模型。我们重点研究了与该哈密顿系统相关的动力学方程，该方程被认为是预测湍流频谱的一种方法。我们澄清了问题的表述，并发展了该方程的局部好拟性理论。我们的分析发现了一个令人惊讶的非线性平滑现象。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Local Well-posedness for the Kinetic MMT Model

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.

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来源期刊

Communications in Mathematical Physics 物理-物理：数学物理

CiteScore

4.70

自引率

8.30%

发文量

226

审稿时长

3-6 weeks

期刊介绍： The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.