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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > On the fully nonlinear 2D Peskin problem

## On the fully nonlinear 2D Peskin problemAdd to your list(s) Download to your calendar using vCal - Robert Strain (University of Pennsylvania)
- Thursday 13 January 2022, 16:00-17:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. FKTW02 - Frontiers in analysis of kinetic equations The Peskin problem models the dynamics of a closed elastic string immersed in an incompressible 2D stokes fluid. This set of equations was proposed as a simplified model to study blood flow through heart valves. The immersed boundary formulation of this problem has proven very useful in particular giving rise to the widely used immersed boundary method in numerical analysis. Proving the existence and uniqueness of smooth solutions is vitally useful for this system in particular to guarantee that numerical methods based upon different formulations of the problem all converge to the same solution. In this project ``Critical local well-posedness for the fully nonlinear Peskin problem’’, which is a joint work with Stephen Cameron, we consider the case with equal viscosities but with a fully non-linear tension law. This situation has been called the fully nonlinear Peskin problem. In this case we prove local wellposedness for arbitrary initial data in the scaling critical Besov space $\dot{B} This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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