Conservation Laws of the Two-Dimensional Gas Dynamics Equations
arXiv:1812.04301 · doi:10.1016/j.ijnonlinmec.2019.03.004
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.