Reaction-Diffusion Systems with 1-Homogeneous Non-Linearity
Date
2002-09-27
Authors
Bueger, Matthias
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We describe the dynamics of a system of two reaction-diffusion equations with 1-homogeneous non-linearity. We show that either an order-preserving property holds and can be used in order to determine the limiting behaviour in some (invariant) sets or the long time behaviour of all solutions can be described by looking at one scalar reaction-diffusion equation only.
Description
Keywords
Reaction-diffusion equations, Order-preserving, Reduction to one equation, Oscillation number
Citation
Bueger, M. (2002). Reaction-diffusion systems with 1-homogeneous non-linearity. <i>Electronic Journal of Differential Equations, 2002</i>(79), pp. 1-14.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.