Abstract
The existence of a family of traveling waves is established for a parabolic system modeling single species growth in a plug flow reactor, proving a conjecture of Kennedy and Aris (Bull. Math. Biol. 42 (1980) 397) for a similar system. The proof uses phase plane analysis, geometric singular perturbation theory and the center manifold theorem.
Original language | English (US) |
---|---|
Pages (from-to) | 895-909 |
Number of pages | 15 |
Journal | Nonlinear Analysis: Real World Applications |
Volume | 5 |
Issue number | 5 |
DOIs | |
State | Published - Dec 2004 |
Keywords
- Bio-reactor model
- Center manifold theorem
- Heteroclinic orbit
- Singular perturbation theory
- Traveling waves
ASJC Scopus subject areas
- Analysis
- Engineering(all)
- Economics, Econometrics and Finance(all)
- Computational Mathematics
- Applied Mathematics