Mathematical Sciences: Faculty Presentations (1991-2022)
Sharp Condition on Global Well-Posedness for Nonlinear Schrödinger Equations With Rotation
Document Type
Presentation
Presentation Date
11-5-2016
Copyright
This work is archived and distributed under the repository's Standard Copyright and Reuse License (opens in new tab). End users may copy, store, and distribute this work without restriction. For all other uses, permission must be obtained from the copyright owners or their authorized agents.
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."
Mathematical Sciences: Faculty Presentations (1991-2022).
Presentation 114.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/114
