After successful completion of the course, students are able to master several variation techniques used in homogenization theory and apply them to multiscale applications coming from materials science.
Basic theory of periodic homogenization, derivation of effective formulas using the method of Gamma-convergence, introduction to two-scale convergence and blow-up method, brief review of random homogenization and applications in high-contrast materials and discrete systems.
The course consists of 12 frontal meetings of two hours per week. The content of the class will be presented on the blackboard.
The first meeting will be organizational and will take place Tuesday 3 October 2023, 14-16 in the library room on the 6th floor green area.
The class will take place weekly on Thursdays 13-15 in the library room on the 6th-floor green area.
Oral exam
Not necessary
Some basic knowledge of functional analysis and calculus of variations is desirable. All required knowledge will be briefly introduced through the course.
