2026-06-29T07:26:46Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/346212025-02-17T13:23:59Zcom_20.500.14352_14col_20.500.14352_15
On the identification of a thermal expansion coefficient
Infante Del Río, Juan Antonio
Molina Rodríguez, M.
Ramos Del Olmo, Ángel Manuel
51
thermal expansion coefficient
food engineering
heat transfer
robin boundary conditions
inverse problem
uniqueness
function identification
Matemáticas (Matemáticas)
12 Matemáticas
In this paper, we identify a time-dependent thermal expansion function when some information about the temperature is known. This inverse problem is motivated by models that arise in food engineering. In particular, the model studied here describes high-pressure processes and it is governed by the heat equation with Robin boundary conditions in a cylindrical spatial domain. We study the inverse problem, proving a uniqueness result and obtaining a numerical scheme to compute the thermal expansion function. Several numerical examples are shown.
Spanish ‘Ministry of Economy and Competitiveness’
Comunidad de Madrid
European Social Fund
Universidad Complutense de Madrid
Banco de Santander
Depto. de Análisis Matemático y Matemática Aplicada
Fac. de Ciencias Matemáticas
TRUE
inpress
2023-06-19T14:53:51Z
2023-06-19T14:53:51Z
2015
journal article
https://hdl.handle.net/20.500.14352/34621
1741-5977
10.1080/17415977.2015.1032274
eng
MTM2011-22658
(S2009/PPQ-1551)
Research Group MOMAT (Ref. 910480)
restricted access
application/pdf
Taylor & Francis