S. Gustafson

activity

19992008

most citedSolitary Wave Dynamics in an External Potential

178 citations · 340 across the 12 of their papers we have counts for

collaborators

Showing 2008 · math.APShow all

2 papers · 2 filters

math.AP2008★ 9 cited

Stability in $H^{1/2}$ of the sum of $K$ solitons for the Benjamin-Ono equation

Stephen Gustafson, Hideo Takaoka, Tai-Peng Tsai

This note proves the orbital stability in the energy space $H^{1/2}$ of the sum of widely-spaced 1-solitons for the Benjamin-Ono equation, with speeds arranged so as to avoid colli…

math.AP2008★ 6 cited

Scattering theory for the Gross-Pitaevskii equation in three dimensions

S. Gustafson, K. Nakanishi, T. -P. Tsai

We study global behavior of small solutions of the Gross-Pitaevskii equation in three dimensions. We prove that disturbances from the constant equilibrium with small, localized ene…

Stability in H1/2 of the sum of K solitons for the Benjamin-Ono equation

Scattering theory for the Gross-Pitaevskii equation in three dimensions

Stability in $H^{1/2}$ of the sum of $K$ solitons for the Benjamin-Ono equation