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Conservation Laws of the Two-Dimensional Gas Dynamics Equations

Published 11 Dec 2018 in math-ph, math.AP, and math.MP | (1812.04301v1)

Abstract: Two-dimensional gas dynamics equations in mass Lagrangian coordinates are studied in this paper. The equations describing these flows are reduced to two Euler-Lagrange equations. Using group classification and Noether's theorem, conservation laws are obtained. Their counterparts in Eulerian coordinates are given. Among these counterparts there are new conservation laws.

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Authors (2)

  1. E. I. Kaptsov 
  2. S. V. Meleshko 

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