On the global existence of a cross-diffusion system
type: Item
instance of: scholarly article
title: On the global existence of a cross-diffusion system
zbMATH Open document ID: 0960.35049
author: Yuan Lou
author: Wei-Ming Ni
author: Yaping Wu
published in: Discrete and Continuous Dynamical Systems
publication date: 2000-08-16T00:00:00Z
review text: This paper concerns a strongly-coupled nonlinear parabolic system describing a competition-diffusion system. This system generalizes the well-known Lotka-Volterra system, but takes into consideration the cross-diffusion pressures. The global existence of classical solutions is established when the space dimension is two and one of the cross-diffusion pressures is zero.
reviewed by: Sebastian Aniţa
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 1492522
zbMATH Keywords: strongly-coupled nonlinear parabolic system
zbMATH Keywords: competition-diffusion system
zbMATH Keywords: global existence of classical solutions
MaRDI profile type: Publication
full work available at URL: dcds.1998.4.193
OpenAlex ID: W2002918570
DOI: 10.3934/DCDS.1998.4.193
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description: scientific article; zbMATH DE number 1492522