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Creators/Authors contains: "Kuo, Po-Chun"

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  1. ; ; ; (, Mathematical Models and Methods in Applied Sciences)
    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 boundary problem and show that they admit a boundary integral reduction, providing an evolution equation for the elastic interface. We consider general nonlinear elastic laws, i.e. the fully nonlinear Peskin problem, and prove that the problem is well-posed in low-regularity Hölder spaces. Moreover, we prove that the elastic membrane becomes smooth instantly in time. 
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    Free, publicly-accessible full text available January 30, 2026