Tai-Peng Tsai

activity

20002024

most citedInterior regularity criteria for suitable weak solutions of the Navier-Stokes equations

89 citations · 481 across the 52 of their papers we have counts for

collaborators

Showing 2001Show all

3 papers · 1 filter

math.AP2001★ 27 cited

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).…

math-ph2001★ 17 cited

Relaxation of Excited States in Nonlinear Schrödinger Equations

Tai-Peng Tsai, Horng-Tzer Yau

We consider a nonlinear Schrödinger equation in $R^{3}$ with a bounded local potential. The linear Hamiltonian is assumed to have two bound states with the eigenvalues satisfying so…

math-ph2001★ 7 cited

Stable Directions for Excited States of Nonlinear Schrödinger Equations

Tai-Peng Tsai, Horng-Tzer Yau

We consider nonlinear Schrödinger equations in $R^{3}$ . Assume that the linear Hamiltonians have two bound states. For certain finite codimension subset in the space of initial data…