Abstract

Two-dimensional relativistic gas dynamics equations are considered in the paper. Using a suitable Lagrangian found by solving the Helmholtz problem, the equations under study are reduced to the Euler–Lagrange equations. The admitted Lie algebra of these equations is derived. Applying Noether’s theorem with the found Lagrangian and the admitted generators, conservation laws in Lagrangian variables are obtained. Counterparts of the found conservation laws in Eulerian coordinates are also presented.

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