Analysis Seminar

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Asymptotic Behavior of the mKdV

Speaker: Benjamin Harrop-Griffiths, Courant

Location: Warren Weaver Hall 1302

Date: Friday, December 4, 2015, 11 a.m.

Synopsis:

The Korteweg-de Vries (KdV) equation arises as an asymptotic limit of numerous dispersive systems and together with its generalizations has a wide range of physical applications including fluid mechanics, plasma physics and nonlinear optics. In this talk we will discuss the modified KdV (mKdV) that provides a model for the dispersive part of the KdV. We will present some robust techniques using wave packets that allow us to study both the modified scattering and final state problems without relying on the completely integrable structure. In particular, these techniques may be applied to short range perturbations of the mKdV as well as numerous other non-integrable equations.