asymptotic stability 1critical regularity 1elastic membrane 1global well-posedness 1peskin problem 1stokes flow 1
From the 1 of 3 linked papers with an AI index.
3 papers
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…
math.AP2024
The Immersed Inextensible Interface Problem in 2D Stokes Flow
Eduardo GarcÃa-Juárez, Po-Chun Kuo, Yoichiro Mori
We study the dynamics of an inextensible, closed interface subject to bending forces and immersed in a two-dimensional and incompressible Stokes fluid. We formulate the problem as…