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Transport equations of higher order discontinuities for quasilinear hyperbolic systems

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Abstract

The transport equations satisfying ordinary linear differential equations of first order which govern the behaviour of higher order discontinuities for quasilinear hyperbolic systems along the rays associated with a singular surface are derived. It is shown that the transport equations depend on the Gaussian curvature of wave front.

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Authors and Affiliations

  1. Mathematics Dept, Faculty of Science, Minia University, Egypt

    M. M. Hassan & M. F. El-Sabbagh

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  1. M. M. Hassan
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  2. M. F. El-Sabbagh
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Hassan, M.M., El-Sabbagh, M.F. Transport equations of higher order discontinuities for quasilinear hyperbolic systems. Z. angew. Math. Phys. 42, 960–965 (1991). https://doi.org/10.1007/BF00944572

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  • DOI: https://doi.org/10.1007/BF00944572

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