On first-order conservation laws for systems of hydronamic type equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 108 (1996) no. 1, pp. 109-128

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We consider conservation laws of the first order quadratic in derivatives related to systems of equations of hydrodynamic type. We derive the defining relations for their densities in a form invariant with respect to the pointwise change of variables. Examples of nondiagonalizable systems admitting quadratic conservation laws are given.
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     author = {E. V. Ferapontov and R. A. Sharipov},
     title = {On first-order conservation laws for systems of hydronamic type equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     year = {1996},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1996_108_1_a8/}
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E. V. Ferapontov; R. A. Sharipov. On first-order conservation laws for systems of hydronamic type equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 108 (1996) no. 1, pp. 109-128. http://geodesic.mathdoc.fr/item/TMF_1996_108_1_a8/