Effective transmission conditions for reaction-diffusion processes in domains separated by thin channels

Bhattacharya A, Gahn M, Neuss-Radu M (2020)


Publication Language: English

Publication Status: Published

Publication Type: Journal article

Future Publication Type: Other publication type

Publication year: 2020

Journal

DOI: 10.1080/00036811.2020.1789599

Abstract

We consider a reaction--diffusion equation in a domain consisting of two bulk regions connected via small channels periodically distributed within a thin layer. The height and the thickness of the channels are of order ϵ, and the equation inside the layer depends on the parameter ϵ and an additional parameter γ∈[−1,1), which describes the size of the diffusion in the layer. We derive effective models for the limit ϵ→0, when the channel-domain is replaced by an interface between the two bulk-domains.

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APA:

Bhattacharya, A., Gahn, M., & Neuss-Radu, M. (2020). Effective transmission conditions for reaction-diffusion processes in domains separated by thin channels. Applicable Analysis. https://doi.org/10.1080/00036811.2020.1789599

MLA:

Bhattacharya, Apratim, Markus Gahn, and Maria Neuss-Radu. "Effective transmission conditions for reaction-diffusion processes in domains separated by thin channels." Applicable Analysis (2020).

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