Chaos in Partial Differential Equations

Details Chaos in Partial Differential Equations Chaos in Partial Differential Equations

2002-05-10

arxiv.org/abs/math/0205114v1

Contemporary Mathematics: Proceedings of the Conference on the Legacy of the Inverse Scattering Transform in Applied Mathemati

Mathematics

Analysis of PDEs

Scientific paper

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.

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