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Dependence of the wave-front speeds on the propagation direction

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Abstract

The dependence of the characteristic speeds of quasilinear hyperbolic systems on the propagation directionn is investigated. It is proved that any non-vanishing characteristic speedc(n) is the sum of a homogeneous functionc 1 (n) and a positively homogeneous functionc 2 (n). As a further result, ifc 2 (n) is non-vanishing, then bothc 2 (n)±c 2 (n) are characteristic speeds.

Sommario

Nel lavoro si analizza la dipendenza dalla direzione di propagazionen delle velocità caratteristiche associate ad un sistema iperbolico quasi lineare. Si prova che ogni velocità caratteristicac(n) non nulla è somma di una funzione omogeneac 1 (n) e di una funzione positivamente omegeneac 2(n). Come ulteriore risultato si ha che, sec 2(n) è non nulla, allora entrambe le funzionic 1(n)±c 2(n) sono velocità caratteristiche.

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Authors and Affiliations

  1. Dipartimento di Matematica e Applicazioni, Università di Napoli, Via Mezzocannone 8, 80134, Napoli

    F. Bampi

  2. Dipartimento di Ingegneria Biofisica ed Elettronica, Università di Genova, Viale F. Causa 13, 16145, Genova, Italy

    C. Zordan

Authors
  1. F. Bampi
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  2. C. Zordan
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Bampi, F., Zordan, C. Dependence of the wave-front speeds on the propagation direction. Z. angew. Math. Phys. 39, 756–761 (1988). https://doi.org/10.1007/BF00948737

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  • DOI: https://doi.org/10.1007/BF00948737

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