Séminaire OrléansModeling and Analysis of Bio-suspensions
Leonid Berlyand (Penn State University)
Thursday 26 March 2009 14:00 - Orléans - Salle de Séminaire
We discuss the transition from the well developed modeling and analysis of passive suspensions to active suspensions (namely, bio-suspensions). Modeling of bacterial suspensions and, more generally, of suspensions of active microparticles has recently become an increasingly active area of research. The focus of our work is on the development and analysis of a mathematical PDE model for the multiscale problem of bacterial suspensions. We discuss recent results on the eﬀective viscosity of dilute bacterial suspensions (with Aronson, Haines and Karpeev) and an asymptotic analysis of the swimming patterns of bacteria (with Aronson, Gyrya and Karpeev).