Singularities Of Solutions To Nonisentropic Compressible Euler Equations With Vacuum

We research the compressible Euler equations with vacuum for nonisentropic, polytropic, ideal fluid flows. We use the new method to realize the symmetric hyper-bolic systems and then get the local existence of the solution. Moreover, by using the method given in [9], we also present two results on the formation of finite time singu-larities of the solutions in two and three space dimensions. The initial data is assumed to be radially symmetric and smooth with vacuum, but not required to have a compact support.