Multiscale analysis of solid materials: From electronic structure
models to continuum theories
Dr. Jianfeng Lu
Courant Institute, New York University
Modern material sciences focus on studies on the microscopic
scale. This calls for mathematical understanding of electronic structure
and atomistic models, and also their connections to continuum theories.
In this talk, we will discuss some recent works where we develop and
generalize ideas and tools from mathematical analysis of continuum
theories to these microscopic models. We will focus on macroscopic limit
and microstructure pattern formation of electronic structure models.