On the Stability of Constant Profile Waves

  • D. R. Bland
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


Non-linear wave equations with convection and dissipation generally admit constant profile solutions. This paper considers various methods of proving stability of these solutions in the simplest case.


Eigenfunction Expansion Perturbation Equation Riemann Invariant Liapunov Function Linear Wave Equation 
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  1. 1.
    Lighthill, M.J.: Surveys in Mechanics, Cambridge University Press 1956, pp. 205–351.Google Scholar
  2. 2.
    Bland, D.R.: J. Inst. Math. Applics. 1, 56 (1965)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag, Berlin/Heidelberg 1971

Authors and Affiliations

  • D. R. Bland
    • 1
  1. 1.Cranfield Institute of TechnologyCranfield, BedfordUK

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