89 citations · 166 across the 13 of their papers we have counts for
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Spectra of Linearized Operators for NLS Solitary Waves
Shu-Ming Chang, Stephen Gustafson, Kenji Nakanishi +1
Nonlinear Schrödinger (NLS) equations with focusing power nonlinearities have solitary wave solutions. The spectra of the linearized operators around these solitary waves are intim…
Asymptotic stability of harmonic maps under the Schrödinger flow
Stephen Gustafson, Kyungkeun Kang, Tai-Peng Tsai
For Schrödinger maps from to the 2-sphere , it is not known if finite energy solutions can form singularities (``blowup'') in finite time. We consider equivar…
Interior regularity criteria for suitable weak solutions of the Navier-Stokes equations
Stephen Gustafson, Kyungkeun Kang, Tai-Peng Tsai
We present new interior regularity criteria for suitable weak solutions of the 3-D Navier-Stokes equations: a suitable weak solution is regular near an interior point if either…
Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions
S. Gustafson, K. Nakanishi, T. -P. Tsai
We study asymptotic behaviour at time infinity of solutions close to the non-zero constant equilibrium for the Gross-Pitaevskii equation in two and three spatial dimensions. We con…