Work

Interacting Phase Fields Yielding Phase Separation on Surfaces

Year: 2025

Type: article

Abstract: . In the present article we study diffuse interface models for two-phase biomembranes. We will do so by starting off with a diffuse interface model on [Formula: see text] defined by two coupled phase fields [Formula: see text]. The first phase field, [Formula: see text], is the diffuse approximation of the interior of the membrane; the second phase field, [Formula: see text], is the diffuse approximation of the two phases of the membrane. We prove a compactness result and a lower bound in the sense of [Formula: see text]-convergence for pairs of phase functions [Formula: see text]. As an application of this first result, we consider a diffuse approximation of a two-phase Willmore functional plus line tension energy.

Source: SIAM Journal on Mathematical Analysis

DOI: 10.1137/24m1679136

Authors: Benjamin Lledos, Roberta Marziani, Heiner Olbermann

Institutions: UCLouvain, University of Siena

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Ministero dell’Istruzione, dell’Università e della Ricerca, Fonds Spéciaux de Recherche, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni

OpenAlex ID: W4410397247

FWCI: 1.87

Cites: 35

Cited by: 1

Related to: 10