Sharp Condition on Global Well-Posedness for Nonlinear Schrödinger Equations With Rotation
Document Type
Presentation
Presentation Date
11-5-2016
Abstract or Description
In this talk, we consider the nonlinear Schrödinger equation with rotation (also called Gross-Pitaevskii equations) in two and three dimensions, and give sharp conditions on the global well-posedness and blowup in the mass-critical case. Specifically, this condition is related to the ground state solution. We will also mention the blow up rate if time permits
Sponsorship/Conference/Institution
Southeastern-Atlantic Regional Conference on Differential Equations (SEARCDE)
Location
Fort Myers, FL
Recommended Citation
Hu, Yi, Nyla Basharat, Shijun Zheng.
2016.
"Sharp Condition on Global Well-Posedness for Nonlinear Schrödinger Equations With Rotation."
Department of Mathematical Sciences Faculty Presentations.
Presentation 114.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/114