Matthieu Bonnivard

Matthieu Bonnivard is a Full Professor of Applied Mathematics at École Centrale de Lyon, affiliated with the Institut Camille Jordan (UMR CNRS 5208). He holds a habilitation à diriger des recherches (HDR, Université Paris Cité, 2022) and a PhD in Mathematics (Université de Grenoble, 2010), co-supervised by Dorin Bucur and Ioan Ionescu. His research focuses on two primary areas:

• Approximation of length minimization problems in the calculus of variations using phase-field and asymptotic analysis techniques
• Fluid-structure interaction models in fluid mechanics, particularly for non-Newtonian and micropolar fluids with applications in nanofluidics and lubrication

He actively contributes to homogenization theory for rough domains and develops numerical algorithms for geometric optimization problems like the Steiner tree. Current projects include the ANR STOIQUES study of Carreau fluids in thin porous media. He teaches in the Mathématiques et Ingénierie du Risque (MIR) program and co-supervises PhD candidate Eve Machefert.

Key research trends include:

• Non-Newtonian fluid modeling through Carreau laws
• Asymptotic analysis of rough boundaries
• Phase-field approximations for geometric problems
• Slip length derivation in nanofluidics
• Homogenization of turbulent flow models