On the number of stationary patterns in reaction-diffusion systems

0450753 - MÚ 2016 RIV CZ eng C - Conference Paper (international conference)
Rybář, Vojtěch - Vejchodský, Tomáš
On the number of stationary patterns in reaction-diffusion systems.
Applications of Mathematics 2015. Prague: Institute of Mathematics CAS, 2015 - (Brandts, J.; Korotov, S.; Křížek, M.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 206-216. ISBN 978-80-85823-65-3.
[Applications of Mathematics 2015. Prague (CZ), 18.11.2015-21.11.2015]
Institutional support: RVO:67985840
Keywords : diffusion driven instability * Turing patterns * classification of non-unique solutions
Subject RIV: BA - General Mathematics

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 systém designed to model coat patterns in leopard and jaguar.
Permanent Link: http://hdl.handle.net/11104/0251970