We study the interplay between dispersion and orbital (in-)stability of solitary waves in nonlinear Schrödinger equations (NLS) with competing nonlinearities. We will mainly focus on the case of the cubic-quintic NLS in space dimensions up to three. An emphasis will be on the distinction between nonlinear ground states and the set of constraint energy minimizers. Time permitting, we will also consider a closely related log-modified NLS equation in 2D. This is joint work with Remi Carles.

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https://umich.zoom.us/j/98365676067

Meeting ID: 983 6567 6067
Passcode: 2020 Speaker(s): Christof Sparber (University of Illinois, Chicago)