Existence of weak solutions for a sharp interface model for phase separation on biological membranes
type: Item
instance of: scholarly article
title: Existence of weak solutions for a sharp interface model for phase separation on biological membranes
zbMATH Open document ID: 1458.35487
author: Helmut Abels
author: Johannes Kampmann
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2021-02-23T00:00:00Z
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35K93
Mathematics Subject Classification ID: 92C37
zbMATH DE Number: 7314561
zbMATH Keywords: lipid rafts
zbMATH Keywords: Mullins-Sekerka equation
zbMATH Keywords: free boundary value problem
zbMATH Keywords: PDE on surfaces
zbMATH Keywords: implicit time discretization
MaRDI profile type: Publication
full work available at URL: dcdss.2020325
OpenAlex ID: W3016535670
cites work: Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids
cites work: Q4954179
cites work: A coupled surface-Cahn-Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes
cites work: Solutions for the two-phase Stefan problem with the Gibbs–Thomson Law for the melting temperature
cites work: Implicit time discretization for the mean curvature flow equation
cites work: Sets of finite perimeter and geometric variational problems. An introduction to geometric measure theory
cites work: Solutions for the Stefan problem with Gibbs-Thomson law by a local minimisation
cites work: Hypersurfaces with mean curvature given by an ambient Sobolev function.
cites work: Compact sets in the space \(L^ p(0,T;B)\)
cites work: Q3336268
DOI: 10.3934/DCDSS.2020325
description: scientific article; zbMATH DE number 7314561