论文标题
相对论的流体动力学在线性方面总是对称hyperbolic吗？
Is Relativistic Hydrodynamics always Symmetric-Hyperbolic in the Linear Regime?
论文作者
论文摘要
接近平衡，热力学系统的动力系数必须满足一组对称条件，这些条件是从onsager-casimir原理中遵循的。在这里，我们表明，如果从Onsager-Casimir原理的角度分析流体动力方程系统，那么也可以将非常强的对称条件强加于此类方程的主要部分（具有最高衍生剂的部分）。特别是，我们发现，在没有宏观磁场和旋转的情况下，当对平衡线性化时，相对论水动力学始终应始终是对称的脂肪。我们使用这些结果来证明Carter的多流体理论和压力框架中的以色列 - 斯图尔特理论在线性方面都是对称的 - 磨骨。还探讨了与通用形式主义的联系。
Close to equilibrium, the kinetic coefficients of a thermodynamic system must satisfy a set of symmetry conditions, which follow from the Onsager-Casimir principle. Here, we show that, if a system of hydrodynamic equations is analysed from the perspective of the Onsager-Casimir principle, then it is possible to impose very strong symmetry conditions also on the principal part of such equations (the part with highest derivatives). In particular, we find that, in the absence of macroscopic magnetic fields and spins, relativistic hydrodynamics should always be symmetric-hyperbolic, when linearised about equilibrium. We use these results to prove that Carter's multifluid theory and the Israel-Stewart theory in the pressure frame are both symmetric-hyperbolic in the linear regime. Connections with the GENERIC formalism are also explored.
