Matthieu Bonnivard's Personal Page

Keywords

• calculus of variations
• phase-field methods
• homogenization
• shape optimization

Main topics

My research focuses on two main areas:

• the approximation of length minimization problems coming from calculus of variations,
• the study of fluid structure interaction models from fluid mechanics.

Both topics have in common the use of asymptotic analysis, either as a regularization and relaxation tool for the related minimization problems, or as a homogenization tool for extracting the main order behaviour of a model.

In addition to a careful analysis and a (hopefully) rigorous justification of the results, most of my contributions emphasize applications and propose numerical simulations and algorithms.