A variational approach to bifurcation points of a reaction-diffusion system with obstacles and Neumann boundary conditions
Jan Eisner, Milan Kučera, Martin Väth (2016)
Applications of Mathematics
Similarity:
Given a reaction-diffusion system which exhibits Turing's diffusion-driven instability, the influence of unilateral obstacles of opposite sign (source and sink) on bifurcation and critical points is studied. In particular, in some cases it is shown that spatially nonhomogeneous stationary solutions (spatial patterns) bifurcate from a basic spatially homogeneous steady state for an arbitrarily small ratio of diffusions of inhibitor and activator, while a sufficiently large ratio is necessary...