| Abstract: |
| The Peskin problem describes the time evolution of a one dimensional elastic string immersed in a 2d steady Stokes fluid. It was first introduced by Peskin as a simplified model of a heart valve, and lead to the creation of the immersed boundary method. As one of the simplest models of a fluid-structure interaction, it has been extensively studied numerically but until recently very little was known analytically about it. Using a new formulation of the problem, we prove that it is locally well-posed in a scaling critical Besov space for an arbitrary tension law. |
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