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Nonlocal Problems Arising in Thermoelectrics

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  • Jaywan Chung
  • Byungki Ryu

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.

Suggested Citation

  • Jaywan Chung & Byungki Ryu, 2014. "Nonlocal Problems Arising in Thermoelectrics," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-7, December.
  • Handle: RePEc:hin:jnlmpe:909078
    DOI: 10.1155/2014/909078
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