An inverse problem for a 2-D system of steady-state reaction-diffusion equations on a perforated domain

Herb Kunze; Davide La Torre

doi:10.1063/1.4972681

An inverse problem for a 2-D system of steady-state reaction-diffusion equations on a perforated domain

Herb Kunze, Davide La Torre

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

Abstract

We consider an inverse problem for a two-dimensional system of steady-state reaction-diffusions acting on a perforated domain. We establish several results that connect the parameter values for the problem on the perforated domain with the corresponding problem on the related unperforated of solid domain. This opens the possibility of estimating a solution to the inverse problem on the perforated domain by instead working with the easier-to-solve inverse problem on the solid domain. We illustrate the results with an example.

Original language	English
Title of host publication	ICNPAA 2016 World Congress
Subtitle of host publication	11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences
Publisher	American Institute of Physics Inc.
Volume	1798
ISBN (Electronic)	9780735414648
DOIs	https://doi.org/10.1063/1.4972681
Publication status	Published - Jan 27 2017
Event	11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016 - La Rochelle, France Duration: Jul 4 2016 → Jul 8 2016

Conference

Conference	11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016
Country	France
City	La Rochelle
Period	7/4/16 → 7/8/16

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1063/1.4972681

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An inverse problem for a 2-D system of steady-state reaction-diffusion equations on a perforated domain. / Kunze, Herb; Torre, Davide La.

ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. Vol. 1798 American Institute of Physics Inc., 2017. 020089.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Kunze, H & Torre, DL 2017, An inverse problem for a 2-D system of steady-state reaction-diffusion equations on a perforated domain. in ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. vol. 1798, 020089, American Institute of Physics Inc., 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016, La Rochelle, France, 7/4/16. https://doi.org/10.1063/1.4972681

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AB - We consider an inverse problem for a two-dimensional system of steady-state reaction-diffusions acting on a perforated domain. We establish several results that connect the parameter values for the problem on the perforated domain with the corresponding problem on the related unperforated of solid domain. This opens the possibility of estimating a solution to the inverse problem on the perforated domain by instead working with the easier-to-solve inverse problem on the solid domain. We illustrate the results with an example.

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An inverse problem for a 2-D system of steady-state reaction-diffusion equations on a perforated domain

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