In this work, we study the global existence of one-dimensional isentropic gas dynamics system. We prove a global-in-time existence result of this system in the framework of discontinuous non-decreasing solutions considering bounded initial data. We remark that this result allows us to give a global meaning to the gas dynamics system in distributional sense, considering discontinuous solutions with vacuum.

中文翻译：

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$1D$等熵气体动力学系统的全局不连续解

在这项工作中，我们研究了一维等熵气体动力学系统的全局存在性。我们在考虑有界初始数据的不连续非递减解的框架内证明了该系统的全局时间存在结果。我们注意到，考虑到真空的不连续解，这个结果使我们能够在分布意义上赋予气体动力学系统一个全局意义。