Self-similar solutions of the spherically symmetric Euler equations for general equations of state

Jianjun Chen; Geng Lai

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arXiv · 2003.10256

Self-similar solutions of the spherically symmetric Euler equations for general equations of state

Jianjun Chen·Geng Lai

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Abstract

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.

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Jianjun Chen, Geng Lai. 2020-03-23. Self-similar solutions of the spherically symmetric Euler equations for general equations of state. https://arxiv.org/abs/2003.10256

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