Tai-Peng Tsai

activity

20002005

most citedAsymptotic Stability and Completeness in the Energy Space for Nonlinear Schrödinger Equations with Small Solitary Waves

7 citations · 11 across the 5 of their papers we have counts for

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4 papers · 1 filter

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…

math.AP2001

Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations

Yvan Martel, Frank Merle, Tai-Peng Tsai

We prove in this paper the stability and asymptotic stability in H^1 of a decoupled sum of N solitons for the subcritical generalized KdV equations $u_{t} + (u_{xx} + u^{p})_{x} = 0$ (1<p<5).…