Tuesday, November 1, 2016 - 11:30am - 12:20pm
Christof Sparber (University of Illinois, Chicago)
The possibility of finite-time, dispersive blow up for nonlinear equations of Schrödinger type is revisited. We extend earlier results in the literature to include the multi-dimensional case, as well as the case of Davey-Stewartson and Gross-Pitaevskii equations. As a by-product of our analysis, a sharp global smoothing estimate for the integral term appearing in Duhamel’s formula is obtained.
Tuesday, October 14, 2014 - 9:00am - 9:50am
John Carter (Seattle University)
In 1978, Hammack & Segur conducted a series of experiments showing
the evolution of finite-amplitude waves of depression. The
experiments were conducted in a long, narrow tank with a rectangular,
vertically moving wave maker at one end. Time series were collected
by gages located at five different positions down the tank. These
time series suggest that dispersion and dissipation play important
roles in the evolution of waves of depression. In this talk, we
examine the roles of dispersion and dissipation by comparing the
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