Analysis Seminar

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Degenerate dispersive equations

Speaker: Jeremy MARZUOLA, UNC Chapel Hill

Location: Warren Weaver Hall 1302

Date: Thursday, March 7, 2019, 11 a.m.

Synopsis:

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.