The Research About The Problem Of Piston

This paper is to This paper is devoted to the extension to the full 2×2 Euler system of the analytical properties of the equations governing a gas flowing in a duct with varying section.First, we consider the Cauchy problem for a pipeline consisting of 2 ducts with deferent areas at a junction.Then we consider the Cauchy problem with a total variation function. Finally,we consider the boundary-value problem.