advection-diffusion 1asymptotic stability 1cartesian grid method 1critical regularity 1elastic membrane 1finite difference 1global well-posedness 1moving domains 1peskin problem 1robin boundary conditions 1stokes flow 1
From the 2 of 3 linked papers with an AI index.
3 papers
math.NA2026
A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains
Han Zhou, Yoichiro Mori, Lingxing Yao
The paper presents a Cartesian grid finite‑difference method for solving advection‑diffusion equations with Robin boundary conditions on domains that move over time, using an inter…
math.AP2026
On the global asymptotic stability for the 3D Peskin Problem at critical regularity
Eduardo GarcÃa-Juárez, Susanna V. Haziot, Po-Chun Kuo +2
The paper proves that a three‑dimensional elastic membrane immersed in a Stokes fluid (the Peskin problem) has globally well‑posed solutions that become smooth instantly and conver…
cond-mat.soft2026
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…