Christian Klein : Blow-up and dispersive shocks in Korteweg-de Vries type equations

Posted by Ian Tobasco , part of the Analysis and Applied Mathematics Seminar.

At

Nov. 20, 2019, 3 p.m.

In

636 SEO

Abstract

We present a survey of numerical studies on solutions to equations from the family of Korteweg-de Vries (KdV) equations. We concentrate on the appearance of solitons in the long time behavior of the solutions, zones of rapid modulated oscillations called dispersive shock waves, and of a loss of regularity (blow-up) in finite time. In particular we study in 1d generalized KdV and fractional KdV equations. In 2d we study Kadomtsev-Petviashvili and Zakharov-Kuznetsov equations.

Note the unusual date.