中文摘要：

主要证明了当初始值受到挤压以及初始流体向外流出时等温相对论欧拉方程组光滑解的奇性形成问题.通过引入与解有关的泛函,证明该泛函满足适当的微分不等式,同时证明该微分不等式的解会发生奇性,继而得到等温相对论欧拉方程组解的奇性形成结果.

英文摘要：

The singularities formation of the isothermal relativistic Euler equations was testified in the condition of the compression of the initial data and the external flow of the initial fluid. By introducing proper functionals coming from the smooth solutions, it was proved that the functionals would match the differential inequalities, and the singularities would occur in the solutions of the differential inequalities. Thus, the singularities formation results were obtained.