Multiple Scale Models in Complex fluids.

Chun Liu   (Penn State)
In this talk, several dynamical systems modeling specific types of complex fluids are introduced. These models all involve multiple spatial scale effects. The relation between these and other existing models will be discussed. We will also study the relations between the variational procedure; the basic energy law; stability; and the higher order energy estimates. The different non-Newtonian properties such systems exhibit is of particular interest. We will discuss some analytical, as well as modeling problems in these models.