A mathematical analysis of thermal explosions
This paper is devoted to the study of semilinear degenerate elliptic boundary value problems arising in combustion theory which obey the simple Arrhenius rate law and a general Newton law of heat exchange. We prove that ignition and extinction phenomena occur in the stable steady temperature profile...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201006706 |
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| Summary: | This paper is devoted to the study of semilinear degenerate elliptic boundary value problems arising in
combustion theory which obey the simple Arrhenius rate law and a
general Newton law of heat exchange. We prove that ignition and
extinction phenomena occur in the stable steady temperature
profile at some critical values of a dimensionless rate of heat
production. |
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| ISSN: | 0161-1712 1687-0425 |