Corpus ID: 221534472

The Peskin Problem with Viscosity Contrast

@inproceedings{GarcaJurez2020ThePP,
  title={The Peskin Problem with Viscosity Contrast},
  author={Eduardo Garc{\'i}a-Ju{\'a}rez and Y. Mori and Robert M. Strain},
  year={2020}
}
The Peskin problem models the dynamics of a closed elastic filament immersed in an incompressible fluid. In this paper, we consider the case when the inner and outer viscosities are possibly different. This viscosity contrast adds further non-local effects to the system through the implicit nonlocal relation between the net force and the free interface. We prove the first global well-posedness result for the Peskin problem in this setting. The result applies for medium size initial interfaces… CONTINUE READING

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