Laplacian instability occurs when a smooth interface evolving under a Laplacian field develops rapidly growing spikes and branches …The instability has been connected to many disparate phenomena, such as dendrites on snowflakes, forks on lightning, quasi-steady-state fracture, lobes on lichen, coral, riverbeds, vasculature, and urban sprawl patterns. Since the formation of non-smooth features from smooth initial conditions is counter-intuitive, this topic has attracted attention in physics, chemistry, and material science…
Pierre-Simon, marquis de Laplace (23 March 1749 – 5 March 1827)
Laplacian Growth from Nervous System on Vimeo.
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