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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| 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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| _version_ | 1832563695066021888 |
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| author | Kazuaki Taira |
| author_facet | Kazuaki Taira |
| author_sort | Kazuaki Taira |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-35487fdec2e04ca589d030a7c492a52b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-35487fdec2e04ca589d030a7c492a52b2025-02-03T01:12:40ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01281058160710.1155/S0161171201006706A mathematical analysis of thermal explosionsKazuaki Taira0Institute of Mathematics, University of Tsukuba, Tsukuba 305-8571, JapanThis 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.http://dx.doi.org/10.1155/S0161171201006706 |
| spellingShingle | Kazuaki Taira A mathematical analysis of thermal explosions International Journal of Mathematics and Mathematical Sciences |
| title | A mathematical analysis of thermal explosions |
| title_full | A mathematical analysis of thermal explosions |
| title_fullStr | A mathematical analysis of thermal explosions |
| title_full_unstemmed | A mathematical analysis of thermal explosions |
| title_short | A mathematical analysis of thermal explosions |
| title_sort | mathematical analysis of thermal explosions |
| url | http://dx.doi.org/10.1155/S0161171201006706 |
| work_keys_str_mv | AT kazuakitaira amathematicalanalysisofthermalexplosions AT kazuakitaira mathematicalanalysisofthermalexplosions |