General 3D domains now admit three-term asymptotic expansions for diffusive capture rates, coupling local curvatures, patch shape and reactivity, and global Green's function interactions.
Two Robin patches.As a further test of (1.5), we consider two circular patches of common radiusεand reactivityb= 1
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Asymptotic Analysis of the Narrow Escape and Berg-Purcell problems on general three-dimensional domains with reactive boundary patches
General 3D domains now admit three-term asymptotic expansions for diffusive capture rates, coupling local curvatures, patch shape and reactivity, and global Green's function interactions.