Global existence for a non-local mean curvature flow as a limit of a parabolic-elliptic phase transition model
type: Item
instance of: scholarly article
title: Global existence for a non-local mean curvature flow as a limit of a parabolic-elliptic phase transition model
zbMATH Open document ID: 0960.35103
DOI: 10.4171/IFB/20
published in: Interfaces and Free Boundaries
publication date: 2001-05-10T00:00:00Z
review text: Summary: We consider a free boundary value problem where the velocity depends on the mean curvature and on some nonlocal term. This problem arises as the singular limit of a reaction-diffusion system which describes the microphase separation of diblock copolymers. The interface may present singularities in finite time. This leads us to consider weak solutions on an arbitrary time interval and to prove the global-in-time convergence of solutions of the reaction-diffusion system.
Mathematics Subject Classification ID: 35Q72
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 74N15
Mathematics Subject Classification ID: 82D60
zbMATH DE Number: 1525468
zbMATH Keywords: singular limit of a reaction-diffusion system
zbMATH Keywords: microphase separation of diblock copolymers
author: Danielle Hilhorst
author: E. Logak
author: Reiner Schätzle
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/ifb/20
OpenAlex ID: W2084865782
description: scientific article; zbMATH DE number 1525468