Interacting phase fields yielding phase separation on surfaces.

par Benjamin Lledos (Université de Nîmes)

lundi 17 févr. 2025, 14:00 → 15:00 Europe/Paris

Amphi Schwartz

In this presentation, we study diffuse interface models for two-phase biomembranes.  We will do so by starting off with a diffuse interface model defined by two coupled phase fields (u,v). The first phase field u is the diffuse approximation of the interior of the membrane; the second phase field v is the diffuse approximation of the two phases of the membrane. We prove a compactness result and a lower bound in the sense of Gamma-convergence for pairs of phase functions. As an application of this first result, we consider a diffuse approximation of a two-phase Willmore functional plus line tension energy.