Convergence to travelling waves in a reaction-diffusion system arising in contaminant transport

Authors
Hilhorst, D Peletier, MA
Citation
D. Hilhorst et Ma. Peletier, Convergence to travelling waves in a reaction-diffusion system arising in contaminant transport, J DIFF EQUA, 163(1), 2000, pp. 89-112
Citations number
27
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN journal
00220396 → ACNP
Volume
163
Issue
1
Year of publication
2000
Pages
89 - 112
Database
ISI
SICI code
0022-0396(20000501)163:1<89:CTTWIA>2.0.ZU;2-4
Abstract
We consider a nonlinear system of parabolic equations describing the transp ort contaminant in porous media. For this system travelling wave solutions are known to exist. We prove existence and uniqueness of general solutions of the system and emergence to travelling waves. (C) 2000 Academic Press.