2002/05/10 by Yanguang Charles Li
Mathematics · Physics and Astronomy · #math.AP #math-ph #math.DS #math.MP #msc:35Q55 #msc:35Q30 #msc:37L10 #msc:37L50 #msc:35Q99
published as Contemporary Mathematics: Proceedings of the Conference on the Legacy of the Inverse Scattering Transform in Applied Mathematics, edited by J. Bona, R. Choudhury, and D. Kaup, 2002
arxiv created 2002/05/10 · arxiv updated 2009/11/30
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.