PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Victor Nistor, Jinchao Xu, Xiantao Li, Yuxi Zheng, Kris Jenssen, Hope Shaffer.

Title:A general framework for the study of Optimal Stokesian Swimmers
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Luca Heltai, SISSA
Swimming, that is, being able to advance in a fluid in the absence of external propulsive forces by performing cyclic shape changes, is particularly demanding at low Reynolds numbers. This is the regime of interest for microorganisms and micro- or nano-robots, where hydrodynamics is governed by Stokes equations, and swimming is complicated by the fact that inertial effects are negligible: viscosity dominates over all participating forces. We reformulate the swimming problem in the context of Control Theory, and show global controllability, as well as some existence results for a general class of microswimmers. For a subset of this class, we present a numerical approximation scheme based on Boundary Element Methods (BEM) and reduced space Successive Quadratic Programming (rSQP) that is capable of computing efficiently optimal strokes for a variety of micro swimmers, both biological and artificial, of which we show some significant examples.

Room Reservation Information

Room Number:MB106
Date:10 / 21 / 2011
Time:03:35pm - 04:25pm