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Influence of Signorini boundary conditions on bifurcation in reaction-diffusion systems
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SYSNO ASEP 0357510 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Influence of Signorini boundary conditions on bifurcation in reaction-diffusion systems Author(s) Kučera, Milan (MU-W) RID, SAI, ORCID Source Title More Progresses in Analysis - Proceedings of the 5th International ISAAC Congress. - New York : World Scientific Publishing, 2009 / Begehr H. ; Wand G. ; Nicolasi F. - ISBN 978-981-283-562-8 Pages s. 601-610 Number of pages 10 s. Action ISAAC Congress Event date 25.07.2005-30.07.2005 VEvent location Catania Country IT - Italy Event type WRD Language eng - English Country US - United States Keywords reaction-diffusion system ; bifurcation ; spatial patterns ; Signorini boundary condition Subject RIV BA - General Mathematics R&D Projects IAA100190506 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) Annotation A reaction-diffusion system of activator-inhibitor type is studied with a bifurcation parameter which can describe e.g. the size of the domain. The influence of Signorini boundary conditions to a bifurcation of spatially nonhomogeneous stationary solutions (spatial patterns) is described. In contrast to all previous results of this type, in the case of unilateral conditions only for the activator, no Dirichlet boundary conditions on a part of the boundary are considered. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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