Event Detail

Event Type: 
Department Colloquium
Monday, March 3, 2014 - 08:00
Kidder 350

Speaker Info

Los Alamos National Laboratory

In the past decade there has been a number of physical experiments that
demonstrated highly non-trivial consequences of collective behavior of
swimming micro-organisms (1-100 micron), referred to as micro-swimmers. In
order to understand and explain the mechanics behind this collective
phenomena it is necessary to construct mathematical models of swimming
micro-organisms and analyze their predictive capabilities. These models
should be based on first principle (vs ad-hoc models) to posses predictive
capabilities and provide intuition for the underlying processes, yet they
should be sufficiently simply to allow for their analysis.

We will start by presenting a few motivating physical experiments involving
the dynamics of micro-swimmers and rheological properties of suspensions of
micro-swimmers. Next we will present several models of swimming
microorganisms, where each of the models is tailored towards a particular
set of experiments. We will highlight similarities and differences between
these models and provide motivation for the later ones. We will present the
analysis for these models and some important conclusions. If time permits we
will consider the connection between some models details (e.g. boundary
conditions and inertia) and possibility of swimmer collisions.