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On the number of stationary patterns in reaction-diffusion systems
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SYSNO ASEP 0450753 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title On the number of stationary patterns in reaction-diffusion systems Author(s) Rybář, Vojtěch (MU-W) RID, SAI
Vejchodský, Tomáš (MU-W) RID, SAI, ORCIDSource Title Applications of Mathematics 2015. - Prague : Institute of Mathematics CAS, 2015 / Brandts J. ; Korotov S. ; Křížek M. ; Segeth K. ; Šístek J. ; Vejchodský T. - ISBN 978-80-85823-65-3 Pages s. 206-216 Number of pages 11 s. Publication form Print - P Action Applications of Mathematics 2015 Event date 18.11.2015-21.11.2015 VEvent location Prague Country CZ - Czech Republic Event type WRD Language eng - English Country CZ - Czech Republic Keywords diffusion driven instability ; Turing patterns ; classification of non-unique solutions Subject RIV BA - General Mathematics Institutional support MU-W - RVO:67985840 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2016
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