The slow drift of wave-pinned pulses in this cell polarization model is a gradient flow whose geometry-dependent potential is given by the Neumann Green's function, producing nontrivial stationary positions and pitchfork bifurcations in dumbbell and perforated domains.
Hale and Kunimochi Sakamoto,A Lyapunov-Schmidt method for transition layers in reaction-diffusion systems, Hiroshima Mathematical Journal35(2005), no
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Geometry-induced pulse dynamics in a bulk-surface reaction-diffusion system for cell polarization
The slow drift of wave-pinned pulses in this cell polarization model is a gradient flow whose geometry-dependent potential is given by the Neumann Green's function, producing nontrivial stationary positions and pitchfork bifurcations in dumbbell and perforated domains.