Attractors of semigroups associated with nonlinear systems for diffusive phase separation
type: Item
instance of: scholarly article
title: Attractors of semigroups associated with nonlinear systems for diffusive phase separation
zbMATH Open document ID: 0933.35189
DOI: 10.1155/S1085337596000085
author: Nobuyuki Kenmochi
published in: Abstract and Applied Analysis
publication date: 2000-03-29T00:00:00Z
full work available at URL: https://eudml.org/doc/48366
full work available at URL: issue-2.html
review text: Summary: We consider a model for diffusive phase transitions, for instance, the component separation in a binary mixture. Our model is described by two functions, the absolute temperature \(\theta:=\theta(t,x)\) and the order parameter \(w:=w(t,x)\), which are governed by a system of two nonlinear parabolic PDEs. The order parameter \(w\) is constrained to have double obstacles \(\sigma_*\leq w\leq\sigma^*\) (i.e., \(\sigma_*\) and \(\sigma^*\) are the threshold values of \(w)\). The objective of this paper is to discuss the semigroup \(\{S(t)\}\) associated with the phase separation model, and to construct its global attractor.
Mathematics Subject Classification ID: 35Q72
Mathematics Subject Classification ID: 37L20
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 82C26
zbMATH DE Number: 1370619
zbMATH Keywords: model for diffusive phase transitions
zbMATH Keywords: binary mixture
zbMATH Keywords: semigroup
zbMATH Keywords: global attractor
MaRDI profile type: Publication
Recommended article: Multiparameter semigroups and attractors of reaction-diffusion equations in ${\mathbb R}^n$
Recommended article: Q3998731
Recommended article: Attractors for a nonclassical diffusion equation
Recommended article: Q4861795
Recommended article: Attractors for nonclassical diffusion equations with dynamic boundary conditions
Recommended article: Attractors for the semilinear reaction-diffusion equation with distribution derivatives
Recommended article: Attractors in Confined Source Problems for Coupled Nonlinear Diffusion
Recommended article: Q4332556
Recommended article: Q5303274
Recommended article: Attractors of non-autonomous reaction–diffusion equations
description: scientific article; zbMATH DE number 1370619