178 citations · 499 across the 26 of their papers we have counts for
28 papers
Growth rates for anti-parallel vortex tube Euler flows in three and higher dimensions
Stephen Gustafson, Evan Miller, Tai-Peng Tsai
We consider axisymmetric, swirl-free solutions of the Euler equations in three and higher dimensions, of generalized anti-parallel-vortex-tube-pair-type: the initial scalar vortici…
Threshold even solutions to the nonlinear Schrödinger equation with delta potential at high frequencies
Stephen Gustafson, Takahisa Inui
We consider the nonlinear Schrödinger equation with a repulsive Dirac delta potential in one dimensional Euclidean space. We classify the global dynamics of even solutions with the…
Blow-up or Grow-up for the threshold solutions to the nonlinear Schrödinger equation
Stephen Gustafson, Takahisa Inui
We consider the nonlinear Schrödinger equation with -supercritical and -subcritical power type nonlinearity. Duyckaerts and Roudenko and Campos, Farah, and Roudenko s…
Threshold odd solutions to the nonlinear Schrödinger equation in one dimension
Stephen Gustafson, Takahisa Inui
We consider odd solutions to the Schrödinger equation with the -supercritical power type nonlinearity in one dimensional Euclidean space. It is known that the odd solution sca…
Co-rotational chiral magnetic skyrmions near harmonic maps
Stephen Gustafson, Li Wang
Chiral magnetic skyrmions are topological solitons, of significant physical interest, arising in ferromagnets described by a micromagnetic energy including a chiral (Dzyaloshinskii…
Global solutions for the critical, higher-degree corotational harmonic map heat flow to
Stephen Gustafson, Dimitrios Roxanas
We study m-corotational solutions to the Harmonic Map Heat Flow from to . We first consider maps of zero topological degree, with initial energy below…