Asymptotic behavior of solutions to a 2X2 reaction-diffusion system with a cross diffusion matrix on unbounded domains
Date
2006-05-11
Authors
Badraoui, Salah
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
This article concerns the behavior at ∓∞ of solutions to a reaction-diffusion system with a cross diffusion matrix on unbounded domains. We show that the solutions satisfy the free diffusion system for all positive time whenever the initial distribution has limits at ∓∞.
Description
Keywords
Reaction-diffusion systems, Analytic semi-group, Local solution, Cross diffusion matrix, Unbounded domain, Asymptotic behavior of solutions
Citation
Badraoui, S. (2006). Asymptotic behavior of solutions to a 2X2 reaction-diffusion system with a cross diffusion matrix on unbounded domains. <i>Electronic Journal of Differential Equations, 2006</i>(61), pp. 1-13.
Rights
Attribution 4.0 International