Original title: On the number of stationary patterns in reaction-diffusion systems
Authors: Rybář, Vojtěch ; Vejchodský, Tomáš
Document type: Papers
Conference/Event: Applications of Mathematics 2015, Prague (CZ), 2015-11-18 / 2015-11-21
Year: 2015
Language: eng
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 systém designed to model coat patterns in leopard and jaguar.
Keywords: classification of non-unique solutions; diffusion driven instability; Turing patterns
Host item entry: Applications of Mathematics 2015, ISBN 978-80-85823-65-3

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0251970

Permalink: http://www.nusl.cz/ntk/nusl-201026


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Research > Institutes ASCR > Institute of Mathematics
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