Phase field approximation of a kinetic moving-boundary problem modelling dissolution and precipitation
type: Item
instance of: scholarly article
title: Phase field approximation of a kinetic moving-boundary problem modelling dissolution and precipitation
zbMATH Open document ID: 1219.35378
DOI: 10.4171/IFB/247
author: T. L. Van Noorden
author: C. Eck
published in: Interfaces and Free Boundaries
publication date: 2011-06-01T00:00:00Z
review text: The authors consider a phase field model describing a one-phase free boundary problem (Stefan-like problem) with a kinetic condition at the moving boundary. The motivating background is the modelling of a process involving transport of solutes by diffusion in a fluid undergoing a precipitation/dissolution reaction. This process can also be modelled by a sharp interface free boundary problem. Using a formal asymptotic analysis the authors are able to prove that the phase field model approximates in the limit \(\varepsilon \rightarrow 0\) the sharp interface model. Herein \(\varepsilon \) denotes the thickness of an interfacial layer containing the moving boundary. The existence and uniqueness of solutions to the phase field model is investigated in detail. Numerical experiments demonstrate the approximating behaviour of the phase field model. The bibliography contains 16 items.
reviewed by: Jürgen Socolowsky
Mathematics Subject Classification ID: 35R37
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 80A22
zbMATH DE Number: 5903240
zbMATH Keywords: phase field model
zbMATH Keywords: kinetics
zbMATH Keywords: moving-boundary problem
zbMATH Keywords: Stefan-like problem
zbMATH Keywords: sharp interface model
zbMATH Keywords: dissolution
zbMATH Keywords: precipitation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/ifb/247
OpenAlex ID: W2024842643
description: scientific article; zbMATH DE number 5903240