On first-order conservation laws for systems of hydrodynamic-type equations |
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Authors: | E V Ferapontov R A Sharipov |
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Institution: | (1) Institute of Mathematical Modeling, Russian Academy of Sciences, Bashkir State University, USSR |
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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.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 108, No. 1, pp. 109–128, July, 1996. |
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