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math.AP2026
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…
math.AP2026
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…