Free Boundary Problems 2026

New results on the asymptotics of Stokes problem with application to fluid solid problems

10 Sept 2026, 15:00

30m

Main Building/Floor 2-Room 3075 - Lecture Hall (HU (Main Building))

Fluid-structure Interactions Fluid-structure Interactions

Speaker

Matthieu Hillairet (Université de Montpellier)

Description

Computing asymptotics of the Stokes problem in thin domains is a crucial issue in the analysis of fluid/solid problems. It enables a sharp description of the relative motion of particles that are close to contact and it is also a crucial step toward computing effective properties of mixtures in a dense regime. First results trace back to the book of Happel and Brenner (65’) using formal lubrication analysis. Many contributions aimed to justify rigorously these formal computations on the basis of a stability analysis or using variational arguments. In this talk I shall report on recent developments in the 3D case and in the case of domains with Lipschitz boundaries.