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
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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…
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…