Degenerate dispersive equations
Speaker: Jeremy MARZUOLA, UNC Chapel Hill
Location: Warren Weaver Hall 1302
Date: Thursday, March 7, 2019, 11 a.m.
We discuss recent work on some quasilinear Hamiltonian dispersive equations of KdV and NLS-type that act as toy models for the phenomenon of degenerate dispersion, where the dispersion relation may degenerate at a point in space. We will cover some special stationary and traveling solutions, as well as new results on the functional framework for time evolution for these equations. This is joint work with Pierre Germain and Ben Harrop-Griffiths.