Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion
type: Item
instance of: scholarly article
title: Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion
zbMATH Open document ID: 1047.35054
author: Y. S. Choi
author: Roger Lui
author: Yoshio Yamada
published in: Discrete and Continuous Dynamical Systems
publication date: 2004-06-18T00:00:00Z
review text: This paper is a continuation of [Discrete Contin. Dyn. Syst. 9, No. 5, 1193--1200 (2003; Zbl 1029.35116)] by the same authors to study the problem of global existence of strong solutions for the Shigesada-Kawasaki-Teramoto model. It is proved global existence of strong solutions assuming that there are self- and cross-diffusions in the first species and there is no cross-diffusion in the second species. It is also shown that if the self-diffusion presents in the second species then the space dimension must be less than 6.
Mathematics Subject Classification ID: 35K50
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 2075940
zbMATH Keywords: self-diffusion
zbMATH Keywords: cross-diffusion
reviewed by: Lubomira Softova
MaRDI profile type: Publication
full work available at URL: dcds.2004.10.719
OpenAlex ID: W1970081881
DOI: 10.3934/DCDS.2004.10.719
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description: scientific article; zbMATH DE number 2075940