Tai-Peng Tsai

activity

20232026

collaborators

4 papers

math.AP2026

Maximal regularity and caloric trace estimates in mixed Lebesgue norms for the heat equation

Hui Chen, Su Liang, Tai-Peng Tsai

We study the heat equation in the half-space with nonhomogeneous Dirichlet boundary data. For the caloric extension $v$ of the boundary data $g$ , we prove maximal regularity estima…

math.AP2025

Existence and regularity for perturbed Stokes system with critical drift in 2D

Misha Chernobai, Tai-Peng Tsai

We consider a perturbed Stokes system with critical divergence-free drift in a bounded Lipschitz domain in $R^{2}$ , with sufficiently small Lipschitz constant L. It extends our previ…

math.AP2024

Existence and regularity for perturbed Stokes system with critical drift

Misha Chernobai, Tai-Peng Tsai

We consider the existence and $L^{q}$ gradient estimates for perturbed Stokes systems with divergence-free critical drift in a bounded Lipschitz domain in $R^{n}$ , $n \geq 3$ .…

math.AP2023

Global Navier-Stokes flows in intermediate spaces

Zachary Bradshaw, Misha Chernobai, Tai-Peng Tsai

We construct global weak solutions of the three dimensional incompressible Navier-Stokes equations in intermediate spaces between the space of uniformly locally square integrable f…