Conservation Laws of the Two-Dimensional Gas Dynamics Equations
Mathematical Physics
2019-06-26 v1 Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.1812.04301,
title = {Conservation Laws of the Two-Dimensional Gas Dynamics Equations},
author = {E. I. Kaptsov and S. V. Meleshko},
journal= {arXiv preprint arXiv:1812.04301},
year = {2019}
}