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

Nyla Basharat; Yi Hu; Shijun Zheng

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

Nyla Basharat, Yi Hu, Shijun Zheng

Mathematical Sciences

Georgia Southern University

Research output: Contribution to conference › Presentation

Abstract

<p> 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 pro&filig;les of blow-up solutions. This is a joint work with Nyla Basharat and Shijun Zheng.</p>

Original language	American English
State	Published - Jan 7 2017
Event	Joint Mathematics Meeting (JMM) - Duration: Jan 7 2017 → …

Conference

Conference	Joint Mathematics Meeting (JMM)
Period	01/7/17 → …

Keywords

Blow-up rates
Nonlinear Schrodinger equations
Rotations
Solutions

DC Disciplines

Mathematics
Physical Sciences and Mathematics

Access to Document

http://jointmathematicsmeetings.org/amsmtgs/2180_abstracts/1125-35-2648.pdf

Cite this

@conference{8b9c245d69ba4d5cbd4c459c07d89766,

title = "Some Blow-Up Rates of Solutions to Nonlinear Schr{\"o}dinger Equations With Rotations",

abstract = " 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 pro&filig;les of blow-up solutions. This is a joint work with Nyla Basharat and Shijun Zheng.",

keywords = "Blow-up rates, Nonlinear Schrodinger equations, Rotations, Solutions",

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

year = "2017",

month = jan,

day = "7",

language = "American English",

note = "Joint Mathematics Meeting (JMM) ; Conference date: 07-01-2017",

}

TY - CONF

T1 - Some Blow-Up Rates of Solutions to Nonlinear Schrödinger Equations With Rotations

AU - Basharat, Nyla

AU - Hu, Yi

AU - Zheng, Shijun

PY - 2017/1/7

Y1 - 2017/1/7

N2 - 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 pro&filig;les of blow-up solutions. This is a joint work with Nyla Basharat and Shijun Zheng.

AB - 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 pro&filig;les of blow-up solutions. This is a joint work with Nyla Basharat and Shijun Zheng.

KW - Blow-up rates

KW - Nonlinear Schrodinger equations

KW - Rotations

KW - Solutions

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpres/113

UR - http://jointmathematicsmeetings.org/amsmtgs/2180_abstracts/1125-35-2648.pdf

M3 - Presentation

T2 - Joint Mathematics Meeting (JMM)

Y2 - 7 January 2017

ER -

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

Abstract

Conference

Keywords

DC Disciplines

Access to Document

Other files and links

Fingerprint

Cite this