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On the disappearance of criticality in the theory of thermal ignition

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Summary

It is shown that a boundary value problem in the theory of thermal ignition has multiple solutions when a certain parameter is greater than 4, for the geometries of an infinite circular cylinder and a sphere.

Zusammenfassung

Es wird gezeigt, dass im Fall der unendlichen Platte, des unendlichen Zylinders und der Kugel, das Randwertproblem in der Theorie der thermischen Explosionen eine mehrfache Lösung hat, wenn ein gewisser Parameter grösser als 4 ist.

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Tam, K.K. On the disappearance of criticality in the theory of thermal ignition. Journal of Applied Mathematics and Physics (ZAMP) 31, 762–766 (1980). https://doi.org/10.1007/BF01594123

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  • DOI: https://doi.org/10.1007/BF01594123

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