5 papers
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…
The Immersed Inextensible Interface Problem in 2D Stokes Flow
Eduardo García-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…
The Tension Determination Problem for an Inextensible Interface in 2D Stokes Flow
Po-Chun Kuo, Ming-Chih Lai, Yoichiro Mori +1
Consider an inextensible closed filament immersed in a 2D Stokes fluid. Given a force density defined on this filament, we consider the problem of determining the tens…
Well-Posedness of the 3D Peskin Problem
Eduardo García-Juárez, Po-Chun Kuo, Yoichiro Mori +1
This paper introduces the 3D Peskin problem: a two-dimensional elastic membrane immersed in a three-dimensional steady Stokes flow. We obtain the equations that model this free bou…