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Identification of memory kernels in heat flow measuring heat flux at the ends of the bar

    Enno Pais Affiliation

Abstract

An inverse problem to determine time‐ and space‐dependent relaxation kernels of internal energy and heat flux with first kind boundary conditions by means of heat flux measurements is considered. The case when observations of the heat flux are made at the ends of the bar with thermal memory was not studied before. Existence and uniqueness of a solution to the inverse problem are proved.


The financial support of Estonian Science Foundation is gratefully acknowledged (Grant nr. 7728).


First published online: 10 Feb 2011

Keyword : inverse problem, memory kernel, heat flow

How to Cite
Pais, E. (2010). Identification of memory kernels in heat flow measuring heat flux at the ends of the bar. Mathematical Modelling and Analysis, 15(4), 473-490. https://doi.org/10.3846/1392-6292.2010.15.473-490
Published in Issue
Nov 15, 2010
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