178 citations · 499 across the 26 of their papers we have counts for
4 papers · 1 filter
Scattering for the Gross-Pitaevskii equation
S. Gustafson, K. Nakanishi, T. -P. Tsai
We investigate the asymptotic behavior at time infinity of solutions close to a non-zero constant equilibrium for the Gross-Pitaevskii (or Ginzburg-Landau Schroedinger) equation. W…
Regularity criteria for suitable weak solutions of the Navier-Stokes equations near the boundary
Stephen Gustafson, Kyungkeun Kang, Tai-Peng Tsai
We present some new regularity criteria for ``suitable weak solutions'' of the Navier-Stokes equations near the boundary in dimension three. We prove that suitable weak solutions a…
Schrodinger Flow Near Harmonic Maps
S. Gustafson, K. Kang, T. -P. Tsai
For the Schrödinger flow from to the 2-sphere , it is not known if finite energy solutions can blow up in finite time. We study equivariant solutions whose en…
Long time motion of NLS solitary waves in a confining potential
B. L. G. Jonsson, J. Froehlich, S. Gustafson +1
We study the motion of solitary-wave solutions of a family of focusing generalized nonlinear Schroedinger equations with a confining, slowly varying external potential, . A L…