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Wave reflection and quasiresonance

  • Part I: Theory of Singular Perturbations
  • Conference paper
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Theory and Applications of Singular Perturbations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 942))

Abstract

Wave reflection by smooth media and resonance of systems with radiation damping are instructive examples of a failure of the standard approach to asymptotics. They are also good examples of a type of exponential asymptotics needed for the sciences. Successful modifications of conventional, singular-perturbation theory have been found for them and show some of the principles promising wider usefulness. They have led to recent developments in WKB-connection theory, which are also reported briefly.

This work was sponsored by the United States Army under Contract No. DAAG29-80-C-0041 and supported partially by the National Science Foundation under Grant MCS-8001960.

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Authors and Affiliations

  1. Mathematics Research Center, University of Wisconsin, 53706, Madison, WI, USA

    R. E. Meyer

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  1. R. E. Meyer
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W. Eckhaus E. M. de Jager

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© 1982 Springer-Verlag

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Meyer, R.E. (1982). Wave reflection and quasiresonance. In: Eckhaus, W., de Jager, E.M. (eds) Theory and Applications of Singular Perturbations. Lecture Notes in Mathematics, vol 942. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094742

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  • DOI: https://doi.org/10.1007/BFb0094742

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11584-7

  • Online ISBN: 978-3-540-39332-0

  • eBook Packages: Springer Book Archive

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