Free Boundary Problems 2026

Long-time dynamics of a convective Cahn--Hilliard model with dynamic boundary conditions

8 Sept 2026, 11:30

30m

DOR24/Floor 1-Room 101 - Lecture Hall (HU (Hegelplatz))

Phase Field Methods in Real-World Applications Phase Field Methods in Real-World Applications

Speaker

Jonas Stange (Universität Regensburg)

Description

We consider a general class of convective bulk-surface Cahn-Hilliard systems with singular potentials. In contrast to classical Neumann boundary conditions, the dynamic boundary conditions of Cahn-Hilliard-type allow for dynamic changes of the contact angle between the diffuse interface and the boundary as well as absorption of material by the boundary. In this talk, I present recent results regarding the long-time behavior of weak solutions. In this context, we first show the existence of a minimal pullback attractor, and then, assuming a suitable decay on the velocity fields, we show that every weak solution converges as $t\rightarrow\infty$ to a single steady state.