Le séminaire aura lieu au 3ème étage de la Frumam à partir de 10 h00. Voici le lien :https://champion.univ-tln.fr/GT-TOP.html

Intervenant : Benjamin Lledos

titre : INTERACTING PHASE FIELDS YIELDING PHASE SEPARATION ON SURFACES

résumé : In this presentation, we study diffuse interface models for two-phase biomembranes. We will do so by starting off with a diffuse interface model on R n 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 Γ-convergence for pairs of phase functions (uϵ, vϵ). As an application of this first result, we consider a diffuse approximation of a two-phase Willmore functional plus line tension energy