Diffusion-driven pattern formation — a homogeneous steady state destabilizes when activator diffuses slower than inhibitor
Gray-Scott model (Pearson 1993):
∂u/∂t = Du∇²u − uv² + f(1−u)
∂v/∂t = Dv∇²v + uv² − (f+k)v
Turing 1952: reaction systems that are stable without diffusion can become unstable with diffusion if the inhibitor diffuses faster than the activator.
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