**Teaching**

# Reaction diffusion equations - Cambridge, Michaelmas 2011

This information is also available at the APDE Teaching homepage .
Recommended literature:
- L. C. Evans,
* Partial Differential Equations*, AMS
- P. Grindrod,
* Patterns and Waves: The Theory and Applications of Reaction-Diffusion Equations*, Clarendon Press
- J.D. Murray,
* Mathematical Biology II: Spatial Models and Biomedical Applications*, Springer
- K. Fellner, Lecture notes on "Reaction diffusion equations", Cambridge, Michaelmas 2010
- B. Perthame, Lecture notes on "Growth, reaction, movement and diffusion from biology"

Example Sheets: Examples 1 , Examples 2 , Examples 3

Matlab source codes: for the last two examples you need the function laplacian
- Predator and prey ; Turing instabilities in a simple 1D predator and prey model
- Fisher/KPP equation ; Travelling wave solutions of the Fisher/KPP equation
- Chaffee-Infante problem ; Approximate solution of the Chaffee-Infante problem
- Diffusive version of Fitz-Hugh-Nagumo system ; Travelling pulse solutions in 1D
- Nonlocal Fisher/KPP equation ; Turing instabilities in 2D
- Schnakenberg system ; Pattern formation in 2D