89 citations · 481 across the 52 of their papers we have counts for
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Analysis of stability and instability for standing waves of the double power one dimensional nonlinear Schr{ö}dinger equation
Perla Kfoury, Stefan Le Coz, Tai-Peng Tsai
For the double power one dimensional nonlinear Schr{ö}dinger equation, we establish a complete classification of the stability or instability of standing waves with positive freque…
Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space
Kyungkeun Kang, Baishun Lai, Chen-Chih Lai +1
For the Stokes system in the half space, Kang [Math.~Ann.~2005] showed that a solution generated by a compactly supported, Hölder continuous boundary flux may have unbounded normal…
Local regularity conditions on initial data for local energy solutions of the Navier-Stokes equations
Kyungkeun Kang, Hideyuki Miura, Tai-Peng Tsai
We study the regular sets of local energy solutions to the Navier-Stokes equations in terms of conditions on the initial data. It is shown that if a weighted norm of the init…
Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities
Fei Liu, Tai-Peng Tsai, Ian Zwiers
In this note we study analytically and numerically the existence and stability of standing waves for one dimensional nonlinear Schrödinger equations whose nonlinearities are the su…