Location of Bifurcation Points for a Reaction-Diffusion System with Neumann-Signorini Conditions
Jan Eisner, Martin Väth · Advanced Nonlinear Studies · 2011
Abstract 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.