Abstract
We show that spikes are unstable in a class of scalar reaction-diffusion equations coupled to a general conservation law. Our class includes the Keller-Segel model for chemotaxis, phase-field models and models for chemical reactions in closed chemical reactors.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 979-998 |
| Number of pages | 20 |
| Journal | Zeitschrift fur Angewandte Mathematik und Physik |
| Volume | 61 |
| Issue number | 6 |
| DOIs | |
| State | Published - Dec 2010 |
Keywords
- Conservation law
- Essential spectrum
- Spikes
- Stability