The N-link model for slender rods in a viscous fluid: well-posedness and convergence to classical elastohydrodynamics equations Flexible fibers at the microscopic scale, such as flagella and cilia, play essential roles in biological and synthetic systems. The dynamics of these slender filaments in viscous flows involve intrica...

So... we've filled that gap in our new preprint! It's a nice functional analysis exercise. Now, we know for sure this model is a good one! Check the paper here ⤵️

For many years I have been using this popular "N-link" model to describe and simulate (planar) flexible fibers in low-Reynolds flows 🪡, but my math brain was always frustrated that its convergence to continuous elastohydrodynamics equations was not formally proved. 1/2

Minimal design of a synthetic cilium Flexible, active filaments beating in a viscous fluid sustain a variety of waveforms. Complex actuation mechanisms are usually necessary to produce large-amplitude bending waves of the kind observed i...

New paper in which we demonstrate how to generate #cilia like oscillations with only reciprocal actuation at the base, using theory, simulations and a robotic model.

(too bad Phys Rev journals have not made it over to bsky yet)
doi.org/10.1103/Phys...