Free Boundary Problems 2026

Well-posedness and Conditional Regularity for Compressible Fluid--Shell Interaction

9 Sept 2026, 11:30

30m

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

Contributed Talks Contributed Talks

Speaker

Pierre Marie Ngougoue (University of Duisburg-Essen)

Description

The interaction of a three-dimensional barotropic compressible fluid with a viscoelastic shell occupying part of the fluid boundary is considered. Local-in-time existence and uniqueness of strong solutions are established in a fully Eulerian framework based on a localised Hanzawa transform. In addition, blow-up criteria are derived, providing sufficient conditions for extending strong solutions beyond a potential singular time.