Term of Award
Summer 2018
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Shijun Zheng
Committee Member 1
Martha Abell
Committee Member 2
Yan Wu
Committee Member 3
Yongki Lee
Abstract
In this paper we will analyze a nonlinear Schrodinger equation with quadratic anisotropic trapping potential used to describe a Bose-Einstein condensate. We will find sufficient condition for the global existence of the solution and for the blow up result using physical properties associated to the equation such as the mass, energy, and angular momentum along with some other identities related to the equation. We will finish the thesis with showing some graphical representations describing the solution of the equation.
OCLC Number
1521935389
Catalog Permalink
https://galileo-georgiasouthern.primo.exlibrisgroup.com/permalink/01GALI_GASOUTH/1r4bu70/alma9916621313102950
Recommended Citation
Leonard, Christopher, "Blow up Solution of Bose-Einstein Condensates with Anisotropic Trapping Potential and Rotation" (2018). Theses & Dissertations. 1795.
https://digitalcommons.georgiasouthern.edu/etd/1795
Research Data and Supplementary Material
Yes
