| Title:
|
On the number of stationary patterns in reaction-diffusion systems (English) |
| Author:
|
Rybář, Vojtěch |
| Author:
|
Vejchodský, Tomáš |
| Language:
|
English |
| Journal:
|
Application of Mathematics 2015 |
| Volume:
|
Proceedings. Prague, November 18-21, 2015 |
| Issue:
|
2015 |
| Year:
|
|
| Pages:
|
206-216 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study systems of two nonlinear reaction-diffusion partial differential equations undergoing diffusion driven instability. Such systems may have spatially inhomogeneous stationary solutions called Turing patterns. These solutions are typically non-unique and it is not clear how many of them exists. Since there are no analytical results available, we look for the number of distinct stationary solutions numerically. As a typical example, we investigate the reaction-diffusion system designed to model coat patterns in leopard and jaguar. (English) |
| Keyword:
|
diffusion driven instability |
| Keyword:
|
Turing patterns |
| Keyword:
|
classification of non-unique solutions |
| MSC:
|
35A02 |
| MSC:
|
35K57 |
| MSC:
|
35Q92 |
| idZBL:
|
Zbl 06669931 |
| . |
| Date available:
|
2017-02-14T10:26:09Z |
| Last updated:
|
2017-03-20 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702977 |
| . |
