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Equadiff 6 pp 193–196Cite as

A description of blow-up for the solid fuel ignition model

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1192)

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  • Asymptotic Behavior
  • Constant Temperature
  • Period Solution
  • Compact Subset
  • Maximum Principle

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References

  1. J. Bebernes and D. Kassoy, A mathematical analysis of blowup for thermal reactions-the spatially monhogeneous case, SIAM J. Appl. Math. 40 (1981), 476–484.

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  2. J.Bebernes and W.Troy, Nonexistence for the Kassoy problem, SIAM J. Math. Analysis, submitted.

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  3. J.Bebernes, A.Bressan and D.Eberly, A description of blow-up for the solid fuel ignition model, submitted.

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  4. A. Friedman and B. McLeod, Blow-up of positive solutions of semilinear heat equations, Indiana Univ. Math. J. 34 (1985), 425–447.

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  5. Y. Giga and R. Kohn, Asymptotically self-similar blow-up of semilinear heat equations, Comm. Pure Appl. Math. 38 (1985), 297–320.

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  6. D. Kassoy and J. Poland, The thermal explosion confined by a constant temperature boundary:I. The induction period solution, SIAM J. Appl. Math. 39 (1980), 412–430.

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© 1986 Equadiff 6 and Springer-Verlag

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Bebernes, J.W. (1986). A description of blow-up for the solid fuel ignition model. In: Vosmanský, J., Zlámal, M. (eds) Equadiff 6. Lecture Notes in Mathematics, vol 1192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076068

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  • DOI: https://doi.org/10.1007/BFb0076068

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16469-2

  • Online ISBN: 978-3-540-39807-3

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