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.
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