Nonlocal Problems Arising in Thermoelectrics

Nonlocal Problems Arising in Thermoelectrics

We revisit the derivation of a nonlocal problem modelling temperature distribution due to power generation using thermoelectric effect. The problem has nonlocal coefficients in reaction and convection terms rather than diffusion term, which makes the problem more interesting. In this paper, we prove...

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Main Authors: Jaywan Chung, Byungki Ryu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2014/909078
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spelling doaj-f08b87d8e79f472baae786699f24a7af2020-11-25T00:03:25ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/909078909078Nonlocal Problems Arising in ThermoelectricsJaywan Chung0Byungki Ryu1Department of Mathematics, Dankook University, Cheonan-si 330-714, Republic of KoreaThermoelectric Conversion Research Center, Korea Electrotechnology Research Institute (KERI), Changwon-si 642-120, Republic of KoreaWe revisit the derivation of a nonlocal problem modelling temperature distribution due to power generation using thermoelectric effect. The problem has nonlocal coefficients in reaction and convection terms rather than diffusion term, which makes the problem more interesting. In this paper, we prove that the nonlocal problem has a unique decreasing solution when electric current induced by the thermoelectric effect is small enough.http://dx.doi.org/10.1155/2014/909078
collection DOAJ
language English
format Article
sources DOAJ
author Jaywan Chung
Byungki Ryu
spellingShingle Jaywan Chung
Byungki Ryu
Nonlocal Problems Arising in Thermoelectrics
Mathematical Problems in Engineering
author_facet Jaywan Chung
Byungki Ryu
author_sort Jaywan Chung
title Nonlocal Problems Arising in Thermoelectrics
title_short Nonlocal Problems Arising in Thermoelectrics
title_full Nonlocal Problems Arising in Thermoelectrics
title_fullStr Nonlocal Problems Arising in Thermoelectrics
title_full_unstemmed Nonlocal Problems Arising in Thermoelectrics
title_sort nonlocal problems arising in thermoelectrics
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2014-01-01
description We revisit the derivation of a nonlocal problem modelling temperature distribution due to power generation using thermoelectric effect. The problem has nonlocal coefficients in reaction and convection terms rather than diffusion term, which makes the problem more interesting. In this paper, we prove that the nonlocal problem has a unique decreasing solution when electric current induced by the thermoelectric effect is small enough.
url http://dx.doi.org/10.1155/2014/909078
work_keys_str_mv AT jaywanchung nonlocalproblemsarisinginthermoelectrics
AT byungkiryu nonlocalproblemsarisinginthermoelectrics
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