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Equadiff 6 pp 193-196 | Cite as

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

  • J. W. Bebernes
Lectures Presented In Sections Section B Partial Differential Equations
Part of the Lecture Notes in Mathematics book series (LNM, volume 1192)

Keywords

Asymptotic Behavior Constant Temperature Period Solution Compact Subset Maximum Principle 
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References

  1. [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.MathSciNetCrossRefzbMATHGoogle Scholar
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    J.Bebernes and W.Troy, Nonexistence for the Kassoy problem, SIAM J. Math. Analysis, submitted.Google Scholar
  3. [3]
    J.Bebernes, A.Bressan and D.Eberly, A description of blow-up for the solid fuel ignition model, submitted.Google Scholar
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    A. Friedman and B. McLeod, Blow-up of positive solutions of semilinear heat equations, Indiana Univ. Math. J. 34 (1985), 425–447.MathSciNetCrossRefzbMATHGoogle Scholar
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    Y. Giga and R. Kohn, Asymptotically self-similar blow-up of semilinear heat equations, Comm. Pure Appl. Math. 38 (1985), 297–320.MathSciNetCrossRefzbMATHGoogle Scholar
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    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.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Equadiff 6 and Springer-Verlag 1986

Authors and Affiliations

  • J. W. Bebernes
    • 1
  1. 1.Department of MathematicsUniversity ColoradoBoulderUSA

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