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This article is cited in 4 scientific papers (total in 4 papers)
On first-order conservation laws for systems of hydronamic type equations
E. V. Ferapontovab, R. A. Sharipovab a Bashkir State University
b Institute for Mathematical Modelling, Russian Academy of Sciences
Abstract:
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.
Received: 17.09.1995
Citation:
E. V. Ferapontov, R. A. Sharipov, “On first-order conservation laws for systems of hydronamic type equations”, TMF, 108:1 (1996), 109–128; Theoret. and Math. Phys., 108:1 (1996), 937–952
Linking options:
https://www.mathnet.ru/eng/tmf1181https://doi.org/10.4213/tmf1181 https://www.mathnet.ru/eng/tmf/v108/i1/p109
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