Diffraction effects in weakly nonlinear detonation waves

  • Rodolfo R. Rosales
Hyperbolic P.D.E. Theory
Part of the Lecture Notes in Mathematics book series (LNM, volume 1402)


In the limit of small heat release, large activation energy and weak nonlinearity, the propagation of detonation waves obeys a Geometrical Optics approximation. These equations develop caustic singularities, where the approximation fails. Here we present a derivation of a modified set of equations for weakly nonlinear detonation waves incorporating lateral diffraction effects. The modified set of equations does not fail at caustics.


Wave Front Shock Front Detonation Wave Triple Point Geometrical Optic 
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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Rodolfo R. Rosales
    • 1
  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridge

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