Bernard Deconinck
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MATHEMATICS COLLOQUIUM
Speaker: Bernard Deconinck Abstract. Integrable PDEs are a special class of PDEs for which many local and global properties are known. Perhaps the most famous of the solutions of an integrable PDE is its soliton solution, because of this these equations are often referred to as soliton equations. The importance of integrable equations derives from the understanding we gain from them about the dynamics of more general nonlinear PDEs. In this talk I will examine the stability of periodic solutions of integrable equations, using the Modified Korteweg-deVries equation (MKdV) as an example. I will introduce the whatever concepts necessary. The talk should be accessible to graduate students who have seen PDEs or dynamical systems. |