Sharp Condition on Global Well-Posedness for Nonlinear Schrödinger Equations With Rotation

Yi Hu; Nyla Basharat; Shijun Zheng

Sharp Condition on Global Well-Posedness for Nonlinear Schrödinger Equations With Rotation

Yi Hu, Nyla Basharat, Shijun Zheng

Mathematical Sciences

Georgia Southern University

Research output: Contribution to conference › Presentation

Abstract

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

Original language	American English
State	Published - Nov 5 2016
Event	Southeastern-Atlantic Regional Conference on Differential Equations (SEARCDE) - Duration: Oct 7 2017 → …

Conference

Conference	Southeastern-Atlantic Regional Conference on Differential Equations (SEARCDE)
Period	10/7/17 → …

Keywords

Global well-posedness
Nonlinear Schrondinger equations
Rotation
Sharp condition

DC Disciplines

Mathematics
Physical Sciences and Mathematics

Access to Document

http://lebesgue.fgcu.edu/SEARCDE2016/Abstract.html

Cite this

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title = "Sharp Condition on Global Well-Posedness for Nonlinear Schr{\"o}dinger Equations With Rotation",

abstract = " In this talk, we consider the nonlinear Schr{\"o}dinger 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",

keywords = "Global well-posedness, Nonlinear Schrondinger equations, Rotation, Sharp condition",

author = "Yi Hu and Nyla Basharat and Shijun Zheng",

year = "2016",

month = nov,

day = "5",

language = "American English",

note = "Southeastern-Atlantic Regional Conference on Differential Equations (SEARCDE) ; Conference date: 07-10-2017",

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TY - CONF

T1 - Sharp Condition on Global Well-Posedness for Nonlinear Schrödinger Equations With Rotation

AU - Hu, Yi

AU - Basharat, Nyla

AU - Zheng, Shijun

PY - 2016/11/5

Y1 - 2016/11/5

N2 - 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

AB - 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

KW - Global well-posedness

KW - Nonlinear Schrondinger equations

KW - Rotation

KW - Sharp condition

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpres/114

UR - http://lebesgue.fgcu.edu/SEARCDE2016/Abstract.html

M3 - Presentation

T2 - Southeastern-Atlantic Regional Conference on Differential Equations (SEARCDE)

Y2 - 7 October 2017

ER -

Sharp Condition on Global Well-Posedness for Nonlinear Schrödinger Equations With Rotation

Abstract

Conference

Keywords

DC Disciplines

Access to Document

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Cite this