Shigesada-Kawasaki-Teramoto model on higher dimensional domains

We investigate the existence of a global attractor for a class of triangular cross diffusion systems in domains of any dimension. These systems includes the Shigesada-Kawasaki-Teramoto (SKT) model, which arises in population dynamics and has been studied in two dimensional domains. Our results apply...

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Main Authors:	Dung Le, Linh Viet Nguyen, Toan Trong Nguyen
Format:	Article
Language:	English
Published:	Texas State University 2003-06-01
Series:	Electronic Journal of Differential Equations
Subjects:	Cross diffusion systems global attractors.
Online Access:	http://ejde.math.txstate.edu/Volumes/2003/72/abstr.html

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spelling	doaj-cd218a5a9cb1406790b8ad510851f4552020-11-24T23:20:59ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912003-06-01200372112Shigesada-Kawasaki-Teramoto model on higher dimensional domainsDung LeLinh Viet NguyenToan Trong NguyenWe investigate the existence of a global attractor for a class of triangular cross diffusion systems in domains of any dimension. These systems includes the Shigesada-Kawasaki-Teramoto (SKT) model, which arises in population dynamics and has been studied in two dimensional domains. Our results apply to the (SKT) system when the dimension of the domain is at most 5. http://ejde.math.txstate.edu/Volumes/2003/72/abstr.htmlCross diffusion systemsglobal attractors.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Dung Le Linh Viet Nguyen Toan Trong Nguyen
spellingShingle	Dung Le Linh Viet Nguyen Toan Trong Nguyen Shigesada-Kawasaki-Teramoto model on higher dimensional domains Electronic Journal of Differential Equations Cross diffusion systems global attractors.
author_facet	Dung Le Linh Viet Nguyen Toan Trong Nguyen
author_sort	Dung Le
title	Shigesada-Kawasaki-Teramoto model on higher dimensional domains
title_short	Shigesada-Kawasaki-Teramoto model on higher dimensional domains
title_full	Shigesada-Kawasaki-Teramoto model on higher dimensional domains
title_fullStr	Shigesada-Kawasaki-Teramoto model on higher dimensional domains
title_full_unstemmed	Shigesada-Kawasaki-Teramoto model on higher dimensional domains
title_sort	shigesada-kawasaki-teramoto model on higher dimensional domains
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2003-06-01
description	We investigate the existence of a global attractor for a class of triangular cross diffusion systems in domains of any dimension. These systems includes the Shigesada-Kawasaki-Teramoto (SKT) model, which arises in population dynamics and has been studied in two dimensional domains. Our results apply to the (SKT) system when the dimension of the domain is at most 5.
topic	Cross diffusion systems global attractors.
url	http://ejde.math.txstate.edu/Volumes/2003/72/abstr.html
work_keys_str_mv	AT dungle shigesadakawasakiteramotomodelonhigherdimensionaldomains AT linhvietnguyen shigesadakawasakiteramotomodelonhigherdimensionaldomains AT toantrongnguyen shigesadakawasakiteramotomodelonhigherdimensionaldomains
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Shigesada-Kawasaki-Teramoto model on higher dimensional domains

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