论文标题

非权利主义,耗散性流体动力学的新的球形溶液

New, spherical solutions of non-relativistic, dissipative hydrodynamics

论文作者

Kasza, Gábor, Csernai, László, Csörgő, Tamás

论文摘要

我们提出了一个新的针对任意散装和剪切粘度的耗散火球流体动力学的精确解决方案。这些解决方案的主要特性是球形对称的哈勃流场。本文的动机主要是学术性的:为简单性和清晰度,我们应用了非忠实的运动学。在这种限制案例中,该理论特别清楚:非忠实的Navier-Stokes方程式以一种充分理解的方式描述了耗散。从我们对耗散火球流体动力学的新精确解决方案的渐近分析中,我们可以得出一个令人惊讶的结论:非相关主义耗散性流体动力学的新型精确解决方案在渐近上是完美的。

We present a new family of exact solutions of dissipative fireball hydrodynamics for arbitrary bulk and shear viscosities. The main property of these solutions is a spherically symmetric, Hubble flow field. The motivation of this paper is mostly academic: we apply non-relativistic kinematics for simplicity and clarity. In this limiting case, the theory is particularly clear: the non-relativistic Navier-Stokes equations describe the dissipation in a well-understood manner. From the asymptotic analysis of our new exact solutions of dissipative fireball hydrodynamics, we could draw a surprising conclusion: this new class of exact solutions of non-relativistic dissipative hydrodynamics is asymptotically perfect.

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