papers
Publications (14)
math.AP2016
Stability of periodic waves of 1D cubic nonlinear Schr{ö}dinger equations
Stephen Gustafson, Stefan Le Coz, Tai-Peng Tsai
math.AP2017
Global, decaying solutions of a focusing energy-critical heat equation in $\mathbb{R}^4$
Stephen Gustafson, Dimitrios Roxanas
math.AP2011
Global well-posedness for 2D radial Schrödinger maps into the sphere
Stephen Gustafson, Eva Koo
math.AP2005
Regularity criteria for suitable weak solutions of the Navier-Stokes equations near the boundary
Stephen Gustafson, Kyungkeun Kang, Tai-Peng Tsai
math-ph2003
Asymptotic Stability and Completeness in the Energy Space for Nonlinear Schrödinger Equations with Small Solitary Waves
Stephen Gustafson, Kenji Nakanishi, Tai-Peng Tsai
math.AP2017
Global solutions for the critical, higher-degree corotational harmonic map heat flow to $\mathbb{S}^2$
Stephen Gustafson, Dimitrios Roxanas
math.AP2006
Spectra of Linearized Operators for NLS Solitary Waves
Shu-Ming Chang, Stephen Gustafson, Kenji Nakanishi +1
math.AP2006
Asymptotic stability of harmonic maps under the Schrödinger flow
Stephen Gustafson, Kyungkeun Kang, Tai-Peng Tsai
math.AP2015
A Degenerate Edge Bifurcation in the 1D Linearized Nonlinear Schrodinger Equation
Matt Coles, Stephen Gustafson
math.AP2010
Stable Directions for Degenerate Excited States of Nonlinear Schrödinger Equations
Stephen Gustafson, Tuoc Van Phan
math.AP2019
Solitary Waves and Dynamics for Subcritical Perturbations of Energy Critical NLS
Matt Coles, Stephen Gustafson
math.AP2013
On linear instability of solitary waves for the nonlinear Dirac equation
Andrew Comech, Meijiao Guan, Stephen Gustafson
math.AP2008
Stability in $H^{1/2}$ of the sum of $K$ solitons for the Benjamin-Ono equation
Stephen Gustafson, Hideo Takaoka, Tai-Peng Tsai
math.AP2006
Interior regularity criteria for suitable weak solutions of the Navier-Stokes equations
Stephen Gustafson, Kyungkeun Kang, Tai-Peng Tsai