Related Experiment Video
Updated: Oct 18, 2026

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels
Published on: September 8, 2016
Instability of solutions in a mass-conserving reaction diffusion system
R Marangell1, J J Wylie2, B H Bradshaw-Hajek3
1The University of Sydney, School of Mathematics and Statistics, NSW 2006, Australia.
Abstract:
We study the spectral stability of traveling and stationary front and pulse solutions in a class of degenerate reaction diffusion systems. We characterize the essential spectrum of the linearized operator in full generality and identify conditions under which it lies entirely in the left half plane. For a number of special cases, we obtain analytical results, including explicit Evans functions and complete spectral descriptions for certain stationary waves. In regimes where analytical methods are not available, we compute the point spectrum numerically using a Riccati-Evans function approach. Our results show that stable traveling fronts can occur, while traveling pulses are generically unstable.
Related Concept Videos
Stability of Equilibrium Configuration: Problem Solving
Problem-solving in the context of the stability of equilibrium configuration...
Le Chatelier's Principle: Changing Concentration
Conservation of Mass in Finite Cotrol Volume
A system is defined as a collection of unchanging contents, and the conservation of mass states that a system's mass is constant.
Chemical Equilibria: Systematic Approach to Equilibrium Calculations
The first step is to identify all the chemical reactions involved, The...
Standard Entropy Change for a Reaction
Stability of Equilibrium Configuration
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...

