9 citations · 16 across the 11 of their papers we have counts for
5 papers · 1 filter
Open Inextensible Filaments in Planar Stokes Flow: Well-Posedness, Endpoint Asymptotics, and Straightening
Han Zhou
We study an inextensible open filament with free ends in a planar Stokes fluid. The system reduces to a third-order nonlocal curvature equation coupled to an elliptic equation for…
A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains
Han Zhou, Yoichiro Mori, Lingxing Yao
We develop a Cartesian grid method for advection--diffusion equations with Robin boundary conditions on moving domains. The moving-domain problem is reformulated as an interface pr…
On the global asymptotic stability for the 3D Peskin Problem at critical regularity
Eduardo García-Juárez, Susanna V. Haziot, Po-Chun Kuo +2
We prove global well-posedness and asymptotic stability for the three-dimensional Peskin problem, which models a closed, elastic membrane immersed in an incompressible Stokes fluid…
Stability and equilibria of a compressible elastic membrane in Stokes flow
Sho Kawakami, Han Zhou, Po-Chun Kuo +2
We formulate a continuum model for a compressible lipid-bilayer membrane immersed in Stokes flow, replacing exact local area inextensibility by conservation of an areal phospholipi…
A Correction Function-based KFBI Method for Brinkman Interface Problems
Han Zhou, Wenjun Ying
In this work, we propose a correction-function-based kernel-free boundary integral (CF-KFBI) method for solving Stokes- and Brinkman-type interface problems. We begin by recasting…