Boundary-value problems for the diffusion equation in domains with disconnected boundary
Sergey D. Traytak · Diffusion fundamentals. · 2005
It is well known that diffusion of particles outside the trapping regions is germane to many problems in different divisions of physics and chemistry. Note also that mathematically similar problems arise in Stokes hydrodynamics, acoustics, heat transfer and electrostatics. The aim of the present paper is an attempt to give a comprehensive analysis of the different analytical approaches to the solution of the boundary-value problems for diffusion in domains with boundaries, which have complicated shapes. 2. Statement of the problem and results