PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)Vol. 77(91), pp. 29–51 (2005)
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PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.) Vol. 77(91), pp. 29–51 (2005) |
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SYMMETRIES OF CONSERVATION LAWSSanja KonjikPoljoprivredni fakultet, Novi Sad, SCGAbstract: We apply techniques of symmetry group analysis in solving two systems of conservation laws: a model of two strictly hyperbolic conservation laws and a zero pressure gas dynamics model, which both have no global solution, but whose solution consists of singular shock waves. We show that these shock waves are solutions in the sense of $1$-strong association. Also, we compute all projectable symmetry groups and show that they are $1$-strongly associated, hence transform existing solutions in the sense of $1$-strong association into other solutions. Keywords: symmetry group, infinitesimal generator, conservation law, Riemann problem, singular shock wave, solution in the sense of association Classification (MSC2000): 35L65; 35D99, 46F30, 58D19 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 7 Nov 2005. This page was last modified: 11 May 2006.
© 2005 Mathematical Institute of the Serbian Academy of Science and Arts
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