Blowup rate for mass critical rotational nonlinear schrödinger equations

Nyla Basharat, Yi Hu, Shijun Zheng

Research output: Contribution to book or proceedingConference articlepeer-review

6 Scopus citations

Abstract

We consider the blowup rate for blowup solutions to L2-critical, focusing NLS with a harmonic potential and a rotation term. Under a suitable spectral condition we prove that there holds the “log-log law” when the initial data is slightly above the ground state. We also construct minimal mass blowup solutions near the ground state level with distinct blowup rates.

Original languageEnglish
Title of host publicationNonlinear Dispersive Waves and Fluids
EditorsShijun Zheng, Jerry Bona, Geng Chen, Tuoc Van Phan, Marius Beceanu, Avy Soffer
PublisherAmerican Mathematical Society
Pages1-12
Number of pages12
ISBN (Print)9781470441098
DOIs
StatePublished - 2019
EventAMS Special Session on Spectral Calculus and Quasilinear Partial Differential Equations and PDE Analysis on Fluid Flows, 2017 - Atlanta, United States
Duration: Jan 5 2017Jan 7 2017

Publication series

NameContemporary Mathematics
Volume725
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Conference

ConferenceAMS Special Session on Spectral Calculus and Quasilinear Partial Differential Equations and PDE Analysis on Fluid Flows, 2017
Country/TerritoryUnited States
CityAtlanta
Period01/5/1701/7/17

Scopus Subject Areas

  • General Mathematics

Keywords

  • Angular momentum
  • Blowup rate
  • Harmonic potential

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