Kinetic FRG Young Researchers Workshop
March 2-5, 2009

CSIC Building (#406), Seminar Room 4122.

Kinetic Theories in Multiscale Modeling of Polycrystals

Dr. Maria Emelianenko

George Mason University

Abstract:  Polycrystalline materials are important in many technological ap­plications, yet there are still many challenges they present for mathematical modeling and analysis. One such challenge lies in understanding how statistical distributions develop in the process of coarsening of materials microstructure and how these distributions in turn relate to materials properties. In this talk, we will discuss and compare several recent continuum level models resulting in nonlinear evolution equations. Special focus will be placed on newly discov­ered features of interface dynamics that connect this problem to the theory of nonhomogeneous Poisson processes in industrial applications and Boltzmann equations in statistical physics. Numerical and analytical characteristics of the solutions will be discussed and compared against the results produced by ex­periments and large-scale simulations.

The results have been done in collaboration with D. Kinderlehrer, D. Golovaty, S. Ta’asan and Y. Ephraim