18 citations · 18 across the 3 of their papers we have counts for
6 papers
Remarks on the maximal regularity for parabolic boundary value problems with inhomogeneous data
Hui Chen, Su Liang, Tai-Peng Tsai
Inspired by Ogawa-Shimizu [JEE 2022] and Chen-Liang-Tsai [IMRN 2025] on the second and first order derivative estimates of solution of heat equation in the upper half space with bo…
Analysis of quasi-periodic waves of cubic nonlinear Schr{ö}dinger equations
Perla Kfoury, Stefan Le Coz, Tai-Peng Tsai
We study the quasi-periodic standing wave solutions of the focusing and defocusing cubic nonlinear Schr{ö}dinger equations in dimension one. In the defocusing case, we establish a…
The local regularity theory for the Stokes and Navier--Stokes equations near the curved boundary
Hui Chen, Su Liang, Tai-Peng Tsai
In this paper, we study local regularity of the solutions to the Stokes equations near a curved boundary under no-slip or Navier boundary conditions. We extend previous boundary es…
Poisson kernel and blow-up of the second derivatives near the boundary for Stokes equations with Navier boundary condition
Hui Chen, Su Liang, Tai-Peng Tsai
We derive the explicit Poisson kernel of Stokes equations in the half space with nonhomogeneous Navier boundary condition (BC) for both infinite and finite slip length. By using th…
On standing waves of 1D nonlinear Schrödinger equation with triple power nonlinearity
Theo Morrison, Tai-Peng Tsai
For the one dimensional nonlinear Schrödinger equation with triple power nonlinearity and general exponents, we study analytically and numerically the existence and stability of st…
Fast-moving finite and infinite trains of solitons for nonlinear Schrödinger equations
Stefan Le Coz, Dong Li, Tai-Peng Tsai
We study *infinite soliton trains* solutions of nonlinear Schrödinger equations (NLS), i.e. solutions behaving at large time as the sum of infinitely many solitary waves. Assuming…