For more information about this meeting, contact Sergei Tabachnikov.
|Title:||1. Reduction of molecular models of solids 2. On the analysis of incompressible fluids at high Reynolds numbers|
|Seminar:||Department of Mathematics Colloquium|
|Speaker:||Xiantao Li and Anna Mazzucato, Penn State|
|1. Molecular models have been important tools in studying mechanical properties of materials. The problems are often posed as an energy minimization or a system of ODEs, possibly with random initial data. Typically, the system is too large for practical implementations. Therefore, reduction is needed to reduce the dimension of the problem. I will discuss several reduction procedure, including methods similar to boundary integral formulation, method of averaging, conditional expectations, and Mori-Zwanzig projection formalism in non-equilibrium statistical mechanics.
2. I will present results obtained with my collaborators in the past few years on different aspects of the analysis of incompressible fluid flow at low viscosity (or high Reynolds numbers). In particular, I will discuss the problem of dissipation of enstrophy, and the limit of vanishing viscosity in the presence of walls.|
Room Reservation Information
|Date:||04 / 14 / 2011|
|Time:||04:00pm - 05:00pm|