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Construction of Autonomous Conservation Laws

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Abstract

In mathematical physics conservation laws are of very special importance. For variational problems they can be determined by means of Noether’s theorem, whereas for general differential equations a direct method by Anco and Bluman (Eur. J. Appl. Math., 13:545–566, 2002, Eur. J. Appl. Math., 13:567–585, 2002) is available. In this paper, a theorem mapping nonautonomous and nonhomogeneous quasilinear first order partial differential equations to autonomous and homogeneous quasilinear first order partial differential equations is used to obtain from a system of first order balance laws an autonomous system of conservation laws.

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Acknowledgements

Work supported by G.N.F.M. of I.N.d.A.M., and by local grants of University of Messina.

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  1. Department of Mathematics and Computer Science, University of Messina, viale F. Stagno d’Alcontres 31, 98166, Messina, Italy

    F. Oliveri

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  1. F. Oliveri
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Oliveri, F. Construction of Autonomous Conservation Laws. Acta Appl Math 132, 443–456 (2014). https://doi.org/10.1007/s10440-014-9918-8

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  • DOI: https://doi.org/10.1007/s10440-014-9918-8

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