7 citations · 11 across the 5 of their papers we have counts for
9 papers
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…
Asymptotic Stability and Completeness in the Energy Space for Nonlinear Schrödinger Equations with Small Solitary Waves
Stephen Gustafson, Kenji Nakanishi, Tai-Peng Tsai
In this paper we study a class of nonlinear Schrödinger equations which admit families of small solitary wave solutions. We consider solutions which are small in the energy space $…
Classification of Asymptotic Profiles for Nonlinear Schrödinger Equations with Small Initial Data
Tai-Peng Tsai, Horng-Tzer Yau
We consider a nonlinear Schrödinger equation with a bounded local potential in . The linear Hamiltonian is assumed to have two bound states with the eigenvalues satisfying som…
Asymptotic Dynamics of Nonlinear Schrödinger Equations with Many Bound States
Tai-Peng Tsai
We consider a nonlinear Schrödinger equation with a bounded local potential in . The linear Hamiltonian is assumed to have three or more bound states with the eigenvalues sati…