Symmetries of Conservation Laws
Analysis of PDEs
2007-05-23 v1
Abstract
The aim of this paper is to apply techniques of symmetry group analysis in solving two systems of conservation laws: a model of two strictly hyperbolic conservation laws and a zero pressure gas dynamics model, which both have no global solution, but whose solution consists of singular shock waves. We show that these shock waves are solutions in the sense of 1-strong association. Also, we compute all projectable symmetry groups and show that they are 1-strongly associated, hence transform existing solutions in the sense of 1-strong association into other solutions.
Keywords
Cite
@article{arxiv.math/0702519,
title = {Symmetries of Conservation Laws},
author = {Sanja Konjik},
journal= {arXiv preprint arXiv:math/0702519},
year = {2007}
}