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arXiv:math/0205114 [math.AP]AbstractReferencesReviewsResources

Chaos in Partial Differential Equations

Yanguang Charles Li

Published 2002-05-10Version 1

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.

Journal: 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
Categories: math.AP, math-ph, math.DS, math.MP
Subjects: 35Q55, 35Q30, 37L10, 37L50, 35Q99
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arXiv:math/0010200 [math.AP] (Published 2000-10-20, updated 2000-10-24)
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