Course Description - Bo Li
Course Description

Weak Convergence Methods for Variational Problems
Modeling Crystalline Solids

Math 285J: Seminar in Applied Mathematics, Spring, 1998, UCLA

MW 4:00 pm -- 5:15 pm, MS 5128
Instructor: Bo Li (Office: MS 7370, E-mail:

In this course we shall first review the basics of the calculus of multiple integrals and the theory of compensated compactness. We shall then focus on a recently developed mathematical theory of crystalline microstructure based on the principle of energy minimization.

The following is a list of tentative topics to be covered in this course.

Most of our references are recently published research articles. But the following books contain some subjects listed above.

This course is designed for graduate students who are interested in one of the areas of partial differential equations, the calculus of variations, applied analysis, and mathematical aspects of materials science. A graduate real analysis course will be a prerequisite. But no knowledge on crystalline solids is assumed. The material presented in this course will be essentially self-closed.