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

Presenters/Authors

Nyla Basharat, Georgia Southern UniversityFollow
Yi Hu, Georgia Southern UniversityFollow
Shijun Zheng, Georgia Southern UniversityFollow

Document Type

Presentation

Presentation Date

1-7-2017

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

Recommended Citation

Basharat, Nyla, Yi Hu, Shijun Zheng. 2017. "Some Blow-Up Rates of Solutions to Nonlinear Schrödinger Equations With Rotations." Department of Mathematical Sciences Faculty Presentations. Presentation 113.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/113