3-Dimensional Compressible Euler Equations

This article mainly divides into two parts. In the first part, We find a new system by using the plane wave transform and self-similar transform, then we give the exact solution by using the Cardan formula. In the second part, assuming the original equation exist weak solution, when γ→1, it will tend to the weak solution of the limit equation, that is to say the original equation has the limiting behavior.