English

Effective diffusion in the region between two surfaces

Mathematical Physics 2016-08-24 v2 math.MP

Abstract

The purpose of this paper is to provide a formula for the effective diffusion operator obtained by projecting the 3-dimensional diffusion equation onto a 2-dimensional plane, assuming reflective boundary conditions at two surfaces in 3-dimensional space. The formula provided corresponds to the case of finite transversal stabilization rate.

Keywords

Cite

@article{arxiv.1511.06166,
  title  = {Effective diffusion in the region between two surfaces},
  author = {Carlos Valero Valdes},
  journal= {arXiv preprint arXiv:1511.06166},
  year   = {2016}
}

Comments

Second Version (corrections and examples added)

R2 v1 2026-06-22T11:49:21.740Z