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

Applicable Analysis Taylor & Francis: STM, Behavioural Science and Public Health Titles / Taylor & Francis

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.

Authors with CRIS profile

Apratim Bhattacharya Naturwissenschaftliche Fakultät Maria Neuß Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

Interdisciplinary Center for Scientific Computing (IWR) DE Germany (DE)

How to cite

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://dx.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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