Nonlocal Problems Arising in Thermoelectrics. (15th December 2014)

• Record Type: Journal Article
• Authors: Chung, Jaywan; Ryu, Byungki
• Other Names: Liu Yuji Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2014(2014)
• Publication Date: 2014-12-15
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2014/909078
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.