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Chaos in Partial Differential Equations

Yanguang Charles Li
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Abstract

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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Yanguang Charles Li. 2002-05-10. Chaos in Partial Differential Equations. https://arxiv.org/abs/math/0205114

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