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Digitale Medien

Integro-differential equation modelling heat transfer in conducting, radiating and semitransparent materials (1998)

Laitinen, M. T. ; Tiihonen, T.

Chichester, West Sussex : Wiley-Blackwell

Mathematical Methods in the Applied Sciences 21 (1998), S. 375-392

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Details

ISSN: 0170-4214

Schlagwort(e): Engineering ; Numerical Methods and Modeling

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik

Notizen: In this work we analyse a model for radiative heat transfer in materials that are conductive, grey and semitransparent. Such materials are for example glass, silicon, water and several gases. The most important feature of the model is the non-local interaction due to exchange of radiation. This, together with non-linearity arising from the well-known Stefan-Boltzmann law, makes the resulting heat equation non-monotone. By analysing the terms related to heat radiation we prove that the operator defining the problem is pseudomonotone. Hence, we can prove the existence of weak solution in the cases where coercivity can be obtained. In the general case, we prove the solvability of the system using the technique of sub and supersolutions. © 1998 B. G. Teubner Stuttgart-John Wiley & Sons Ltd.

Zusätzliches Material: 2 Ill.

Materialart: Digitale Medien

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