Influence of Signorini boundary conditions on bifurcation in reaction-diffusion systems

0357510 - MÚ 2011 RIV US eng C - Konferenční příspěvek (zahraniční konf.)
Kučera, Milan
Influence of Signorini boundary conditions on bifurcation in reaction-diffusion systems.
More Progresses in Analysis - Proceedings of the 5th International ISAAC Congress. New York: World Scientific Publishing, 2009 - (Begehr, H.; Wand, G.; Nicolasi, F.), s. 601-610. ISBN 978-981-283-562-8.
[ISAAC Congress. Catania (IT), 25.07.2005-30.07.2005]
Grant CEP: GA AV ČR IAA100190506
Klíčová slova: reaction-diffusion system * bifurcation * spatial patterns * Signorini boundary condition
Kód oboru RIV: BA - Obecná matematika

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.
Trvalý link: http://hdl.handle.net/11104/0195772