Analysis and Applied Mathematics Seminar
Christian Klein
Univ. Dijon, France
Blow-up and dispersive shocks in Korteweg-de Vries type equations
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.
Wednesday November 20, 2019 at 3:00 PM in 636 SEO