Variational Analysis of the Ginzburg-Landau Functional: An Introduction

What it is about

You will learn the variational analytic foundations of Ginzburg–Landau energies. The module introduces Gamma-convergence, relaxation and the treatment of concentration phenomena on objects with co-dimension 1 and 2. By the end you can apply the fundamental concepts and follow the main results in proof lines.

What you will be able to do

• Understand the basic concepts of Gamma-convergence
• Apply relaxation theory
• Variational analysis for scalar-valued Ginzburg–Landau energies
• Variational analysis for vector-valued Ginzburg–Landau energies
• Assess concentration phenomena in co-dimension 1 and 2

What the module consists of

• LecturePresentation of content, demonstrative examples and discussion for conveying the theory

Teaching method

• Lecture with examplesto introduce the concepts and theorems
• Discussionto deepen understanding and encourage students to engage in their own analysis
• Exercise problems (individual or in small groups)for self-check and deepening of the material