3 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 of the boundary data , we prove maximal regularity estima…
math.AP2026
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 , with sufficiently small Lipschitz constant L. It extends our previ…
math.AP2026
Existence and regularity for perturbed Stokes system with critical drift
Misha Chernobai, Tai-Peng Tsai
We consider the existence and gradient estimates for perturbed Stokes systems with divergence-free critical drift in a bounded Lipschitz domain in , .…