Geodesic
On first-order conservation laws for systems of hydronamic type equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 108 (1996) no. 1, pp. 109-128 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

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