Tai‐Peng Tsai

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math.AP2005

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…

math.AP2005

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…

math.AP2005

Schrodinger Flow Near Harmonic Maps

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

For the Schrödinger flow from $R^{2} \times R^{+}$ to the 2-sphere $S^{2}$ , it is not known if finite energy solutions can blow up in finite time. We study equivariant solutions whose en…