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On first-order conservation laws for systems of hydrodynamic-type equations

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Abstract

First-order conservation laws quadratic in derivatives are considered for systems of hydrodynamic-type equations. Defining relationships for the densities of such conservation laws are derived in a form that is invariant with respect to pointwise changes of the variables. Examples of nondiagonalizable systems admitting quadratic conservation laws are given.

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Authors and Affiliations

  1. Institute of Mathematical Modeling, Russian Academy of Sciences, Bashkir State University, USSR

    E. V. Ferapontov & R. A. Sharipov

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  1. E. V. Ferapontov
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  2. R. A. Sharipov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 108, No. 1, pp. 109–128, July, 1996.

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Ferapontov, E.V., Sharipov, R.A. On first-order conservation laws for systems of hydrodynamic-type equations. Theor Math Phys 108, 937–952 (1996). https://doi.org/10.1007/BF02070520

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  • DOI: https://doi.org/10.1007/BF02070520

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