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A spectral measure estimation problem in rheology

Henryk Gzyl (), Enrique ter Horst and German Molina

Physica A: Statistical Mechanics and its Applications, 2015, vol. 434, issue C, 129-133

Abstract: In this paper we consider an inverse problem appearing in rheology, consisting of determining a spectral measure over the set of relaxation times, that yields an observed collection of loss and storage moduli. Mathematically speaking, the problem consists of solving a system of Fredholm equations. To solve it, we propose an extended version of the maximum entropy method in the mean which is flexible enough to incorporate potential measurement errors.

Keywords: Viscoelasticity; Storage modulus; Loss modulus; Spectral density (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:434:y:2015:i:c:p:129-133

DOI: 10.1016/j.physa.2015.04.010

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