Well-posedness and global attractors for a non-isothermal viscous relaxationof nonlocal Cahn-Hilliard equations

Well-posedness and global attractors for a non-isothermal viscous relaxationof nonlocal Cahn-Hilliard equations

We investigate a non-isothermal viscous relaxation of some nonlocal Cahn-Hilliard equations. This perturbation problem generates a family of solution operators exhibiting dissipation and conservation. The solution operators admit a family of compact global attractors that are bounded in a more regul...

Full description

Bibliographic Details
Main Author: Joseph L. Shomberg
Format: Article
Language:English
Published: AIMS Press 2016-07-01
Series:AIMS Mathematics
Subjects:
Nonlocal Cahn-Hilliard equations| well-posedness| global attractors| regularity
Online Access:http://www.aimspress.com/article/10.3934/Math.2016.2.102/fulltext.html
id doaj-2c14ea82d66f40dfbae91b439f7bed4f
record_format Article
spelling doaj-2c14ea82d66f40dfbae91b439f7bed4f2020-11-24T23:30:56ZengAIMS PressAIMS Mathematics2473-69882016-07-011210213610.3934/Math.2016.2.102Well-posedness and global attractors for a non-isothermal viscous relaxationof nonlocal Cahn-Hilliard equationsJoseph L. Shomberg0Department of Mathematics and Computer Science, Providence College, Providence, RI 02918, USAWe investigate a non-isothermal viscous relaxation of some nonlocal Cahn-Hilliard equations. This perturbation problem generates a family of solution operators exhibiting dissipation and conservation. The solution operators admit a family of compact global attractors that are bounded in a more regular phase-spacehttp://www.aimspress.com/article/10.3934/Math.2016.2.102/fulltext.htmlNonlocal Cahn-Hilliard equations| well-posedness| global attractors| regularity
collection DOAJ
language English
format Article
sources DOAJ
author Joseph L. Shomberg
spellingShingle Joseph L. Shomberg
Well-posedness and global attractors for a non-isothermal viscous relaxationof nonlocal Cahn-Hilliard equations
AIMS Mathematics
Nonlocal Cahn-Hilliard equations| well-posedness| global attractors| regularity
author_facet Joseph L. Shomberg
author_sort Joseph L. Shomberg
title Well-posedness and global attractors for a non-isothermal viscous relaxationof nonlocal Cahn-Hilliard equations
title_short Well-posedness and global attractors for a non-isothermal viscous relaxationof nonlocal Cahn-Hilliard equations
title_full Well-posedness and global attractors for a non-isothermal viscous relaxationof nonlocal Cahn-Hilliard equations
title_fullStr Well-posedness and global attractors for a non-isothermal viscous relaxationof nonlocal Cahn-Hilliard equations
title_full_unstemmed Well-posedness and global attractors for a non-isothermal viscous relaxationof nonlocal Cahn-Hilliard equations
title_sort well-posedness and global attractors for a non-isothermal viscous relaxationof nonlocal cahn-hilliard equations
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2016-07-01
description We investigate a non-isothermal viscous relaxation of some nonlocal Cahn-Hilliard equations. This perturbation problem generates a family of solution operators exhibiting dissipation and conservation. The solution operators admit a family of compact global attractors that are bounded in a more regular phase-space
topic Nonlocal Cahn-Hilliard equations| well-posedness| global attractors| regularity
url http://www.aimspress.com/article/10.3934/Math.2016.2.102/fulltext.html
work_keys_str_mv AT josephlshomberg wellposednessandglobalattractorsforanonisothermalviscousrelaxationofnonlocalcahnhilliardequations
_version_ 1725539477384855552

Similar Items