Mathematical modeling and simulation of texture evolution

Maria Emelianenko
Carnegie Mellon University

Abstract:

Preparing a texture suitable for a given purpose is a central problem
in materials science, which presents many challenges for mathematical
modeling, simulation, and analysis. In this talk, we focus on the
mesoscopic behavior of the grain boundary system and on understanding
the role of topological reconfigurations during evolution.  We
formulate several types of evolution equations based on fractional
kinetics and stochastic descriptions, compare its results with the
simulations and discuss their limitations and possible extensions to
higher dimensions.

This is a joint work with David Kinderlehrer, Shlomo Ta'asan and Dmitry
Golovaty.