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arXiv 1808.02112astro-ph.CO
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均匀膨胀宇宙中的强激波。自相似方程的近似解和精确解

Strong shock in a uniform expanding universe. Approximate and exact solutions of self-similar equations

Gennadiy S. Bisnovatyi-Kogan, Sofya A. Panafidina

摘要:

在平坦膨胀的尘埃Friedman宇宙中,得到了强激波传播的自相似解。利用自相似变量之间的关系,较早地得到了近似解析解,等价于L.I. Sedov关于静态均匀介质中强爆炸的理论。本文对自相似方程进行了数值积分,得到了与近似解析解相当接近的精确解。这些解之间的差别在激波附近最为明显。对于多方状态方程,自相似解存在于比静态状态方程更窄的绝热幂区间内。

英文摘要:

Self-similar solution is obtained for propagation of a strong shock, in a flat expanding dusty Friedman universe. Approximate analytic solution was obtained earlier, using relation between self-similar variables, equivalent to the exact energy conservation integral, which was obtained by L.I. Sedov for the strong explosion in the static uniform medium. Numerical integration of self-similar equation is made here, giving an exact solution of the problem, which is rather close to the approximate analytic one. The differences between these solutions are most apparent in the vicinity of the shock. For polytropic equation of state, self-similar solutions exist in more narrow interval of the adiabatic power than in the static case.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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