Location of bifurcation points for a reaction-diffusion system with Neumann-Signorini conditions

0373154 - MÚ 2012 RIV US eng J - Journal Article
Eisner, J. - Väth, Martin
Location of bifurcation points for a reaction-diffusion system with Neumann-Signorini conditions.
Advanced Nonlinear Studies. Roč. 11, č. 4 (2011), s. 809-836. ISSN 1536-1365. E-ISSN 2169-0375
R&D Projects: GA AV ČR IAA100190805
Institutional research plan: CEZ:AV0Z10190503
Keywords : global bifurcation * stationary solutions * reaction-diffusion system
Subject RIV: BA - General Mathematics
Impact factor: 0.644, year: 2011
http://www.advancednonlinearstudies.com/Archive/V11N4/ANLS_V11N4_pg809-836.pdf

We consider a reaction-diffusion system of activator-inhibitor or substrate-depletion type in one space dimension which is subject to diffusion-driven instability. We determine the change of bifurcation when a pure Neumann condition is supplemented with a Signorini condition. We show that this change differs essentially from the known case when also Dirichlet conditions are assumed.
Permanent Link: http://hdl.handle.net/11104/0206308