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.
Elliott, and Bao Quoc Tang,Bulk-surface systems on evolving domains, Journal of Evolution Equations25(2025), 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.