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.
@article{TMF_1996_108_1_a8,
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},
pages = {109--128},
publisher = {mathdoc},
volume = {108},
number = {1},
year = {1996},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1996_108_1_a8/}
}
TY - JOUR AU - E. V. Ferapontov AU - R. A. Sharipov TI - On first-order conservation laws for systems of hydronamic type equations JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1996 SP - 109 EP - 128 VL - 108 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1996_108_1_a8/ LA - ru ID - TMF_1996_108_1_a8 ER -
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/