Formal Expansions in Stochastic Model for Wave Turbulence 1: Kinetic Limit

被引：0
|
作者：
Andrey Dymov
Sergei Kuksin
机构：
[1] Steklov Mathematical Institute of RAS,UFR de Mathématiques
[2] National Research University Higher School of Economics, Batiment Sophie Germain
[3] Université Paris-Diderot (Paris 7),School of Mathematics
[4] Shandong University,undefined
来源：
Communications in Mathematical Physics | 2021年 / 382卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the damped/driven (modified) cubic NLS equation on a large torus with a properly scaled forcing and dissipation, and decompose its solutions to formal series in the amplitude. We study the second order truncation of this series and prove that when the amplitude goes to zero and the torus’ size goes to infinity the energy spectrum of the truncated solutions becomes close to a solution of the damped/driven wave kinetic equation. Next we discuss higher order truncations of the series.
引用
收藏
页码：951 / 1014
页数：63
相关论文
共 50 条
12345