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.
References in corpus (2)
Cited by in corpus (4)
- One-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates: symmetry classification, conservation laws, difference schemes
- Symmetries, conservation laws and difference schemes of the (1+2)-dimensional shallow water equations in Lagrangian coordinates
- Invariant Solutions of the Two-Dimensional Shallow Water Equations with a Particular Class of Bottoms
- One-dimensional flows of a polytropic gas: Lie group classification, conservation laws, invariant and conservative difference schemes