论文标题
球形对称欧拉方程的自相似解的状态方程
Self-similar solutions of the spherically symmetric Euler equations for general equations of state
论文作者
论文摘要
球形对称运动的研究对于爆炸波理论很重要。在本文中，我们构建了针对状态通用方程的球形对称Euler方程的Riemann问题的严格自相似解决方案。我们使用自相似性的假设将球形对称的Euler方程减少到非线性普通微分方程系统，除了它们的存在之外，我们从中获得了详细的解决方案。
The study of spherically symmetric motion is important for the theory of explosion waves. In this paper, we construct rigorously self-similar solutions to the Riemann problem of the spherically symmetric Euler equations for general equations of state. We used the assumption of self-similarity to reduce the spherically symmetric Euler equations to a system of nonlinear ordinary differential equations, from which we obtain detailed structures of solutions besides their existence.
