Acta Mechanica

, Volume 53, Issue 1–2, pp 73–79 | Cite as

Stabilization criteria for thermally explosive materials

  • P. B. Bailey
  • P. J. Chen
  • B. Straughan
Contributed Papers
Received:

Summary

A previously obtained condition on the boundary temperature for the existence of a unique steady state solution of the zeroth order Arrhenius reaction equation is shown to be sufficient to guarantee decay of the temperature in the corresponding transient problem.

For the heat equation we obtain a bound on the size of the initial data. The bound depends upon domain size and geometry, which may be used to ascertain when disturbances decay to zero in time.

Keywords

Steady State Dynamical System Explosive Initial Data Fluid Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • P. B. Bailey
    • 1
  • P. J. Chen
    • 1
  • B. Straughan
    • 2
  1. 1.Sandia National LaboratoriesAlbuquerqueU.S.A.
  2. 2.Department for Mathematics, The UniversityGlasgowUK

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