2 papers
math.AP2026
Neutral curves and traveling waves in plane Poiseuille flow
Hui Li, Yuxi Wang, Zhifei Zhang
We study the spectrum of the Orr--Sommerfeld operator associated with the incompressible plane Poiseuille flow in the high-Reynolds-number regime. In the Tollmien--Schlichting eige…
math.AP2025
Corrector estimates and homogenization errors of unsteady flow ruled by Darcy's law
Li Wang, Qiang Xu, Zhifei Zhang
Focusing on Darcy's law incorporating memory effects, this paper studies non-stationary Stokes equations on perforated domains. We establish a sharp homogenization error for both v…