On the number of stationary patterns in reaction-diffusion systems

Rybář, Vojtěch, and Vejchodský, Tomáš. "On the number of stationary patterns in reaction-diffusion systems." Application of Mathematics 2015. Prague: Institute of Mathematics CAS, 2015. 206-216. <http://eudml.org/doc/287816>.

@inProceedings{Rybář2015,
abstract = {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.},
author = {Rybář, Vojtěch, Vejchodský, Tomáš},
booktitle = {Application of Mathematics 2015},
keywords = {diffusion driven instability; Turing patterns; classification of non-unique solutions},
location = {Prague},
pages = {206-216},
publisher = {Institute of Mathematics CAS},
title = {On the number of stationary patterns in reaction-diffusion systems},
url = {http://eudml.org/doc/287816},
year = {2015},
}

TY - CLSWK
AU - Rybář, Vojtěch
AU - Vejchodský, Tomáš
TI - On the number of stationary patterns in reaction-diffusion systems
T2 - Application of Mathematics 2015
PY - 2015
CY - Prague
PB - Institute of Mathematics CAS
SP - 206
EP - 216
AB - 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.
KW - diffusion driven instability; Turing patterns; classification of non-unique solutions
UR - http://eudml.org/doc/287816
ER -