Mathematical Sciences: Faculty Presentations (1991-2022)

Some Blow-Up Rates of Solutions to Nonlinear Schrödinger Equations With Rotations

Document Type

Presentation

Presentation Date

1-7-2017

Copyright

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Abstract or Description

In this talk we consider the nonlinear Schr¨odinger equation with rotation iut = −1/2∆u + V (x)u + u|u|p−1 − Ω · Lu and introduce some recent progress of the blow up rate. In the mass super critical and energy subcritical range, for radially symmetric initial data, we give a universal upper bound on the blow up rate. In the mass critical case, assuming some spectral property, we give limiting profiles of blow-up solutions. This is a joint work with Nyla Basharat and Shijun Zheng.

Sponsorship/Conference/Institution

Joint Mathematics Meeting (JMM)

Location

Atlanta, GA

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