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math.AP2025
The Effective Reactivity for Capturing Brownian Motion by Partially Reactive Patches on a Spherical Surface
Denis S. Grebenkov, Michael J. Ward
We analyze the trapping of diffusing ligands, modeled as Brownian particles, by a sphere that has partially reactive boundary patches, each of small area and arbitrary shape, o…
math.AP2025
Competition of small targets in planar domains: from Dirichlet to Robin and Steklov boundary condition
Denis S. Grebenkov, Michael J. Ward
We consider steady-state diffusion in a bounded planar domain with multiple small targets on a smooth boundary. Using the method of matched asymptotic expansions, we investigate th…
math.AP2025
The Asymptotic Analysis of Some PDE and Steklov Eigenvalue Problems with Partially Reactive Patches in 3-D
Denis S. Grebenkov, Michael J. Ward
We consider steady-state diffusion in a three-dimensional bounded domain with a smooth reflecting boundary that is partially covered by small partially reactive patches. By using t…