Speaker: Irene M. Gamba
Affiliation: Department of Mathematics and the Institute for Computational Engineering and Sciences (ICES) at The University of Texas – Austin
Title: The Mathematics of statistically interacting flows
Abstract:
Statistical mechanics and kinetic collisional modeling were introduced in the last quarter of the nineteenth century by L. Boltzmann and J.C. Maxwell, independently. These type of evolution models concerns a class of non-local, and nonlinear problems whose rigorous mathematical treatment and approximations are still emerging in comparison to classical non-linear PDE theory. Their applications range from rarefied elastic and inelastic gas dynamics, collisional plasmas and electron transport in nanostructures, to self-organized or social interacting dynamics.
We will see that based on a Markovian framework of birth and death processes under the regime of molecular chaos propagation, their evolution is described by equations of non-linear non-local interacting type called collisional Boltzmann type equations.
We will discuss recent progress in analytical and numerical methods for initial and boundary value problems.
Date: September 7, 2016
Time: 11am -12.00 noon
Place: TBD