Chaos in Partial Differential Equations
偏微分方程分析
2007-05-23 v1 数学物理
动力系统
math.MP
摘要
This is a survey on Chaos in Partial Differential Equations. First we classify soliton equations into three categories: 1. (1+1)-dimensional soliton equations, 2. soliton lattices, 3. (1+n)-dimensional soliton equations (n greater than 1). A systematic program has been established by the author and collaborators, for proving the existence of chaos in soliton equations under perturbations. For each category, we pick a representative to present the results. Then we review some initial results on 2D Euler equation.
引用
@article{arxiv.math/0205114,
title = {Chaos in Partial Differential Equations},
author = {Yanguang Charles Li},
journal= {arXiv preprint arXiv:math/0205114},
year = {2007}
}