相对论性Chapman-Enskog热传导定律的一般不稳定性
Generic instabilities in the relativistic Chapman-Enskog heat conduction law
摘要：
我们解决了相应的相对论流体方程的柯西问题的适定性，再加上热通量内产生的相对论Chapman-Enskog程序的本构关系。所得到的方程组是非双曲的，通过考虑一般扰动写在一个通用的时间方向上的整个方程组。得到的本征值不是纯虚的，其实部随着波数的增加而无限制地增长。与Eckart的理论不同，当时间方向与流体方向一致时，这种不稳定性不存在。然而，由于通常流体速度不是表面形成的，因此只能在不存在旋转的特定情况下避免不稳定性。
英文摘要：
We address the well-posedness of the Cauchy problem corresponding to the relativistic fluid equations, when coupled with the heat-flux constitutive relation arising within the relativistic Chapman-Enskog procedure. The resulting system of equations is shown to be non hyperbolic, by considering general perturbations over the whole set of equations written with respect to a generic time direction. The obtained eigenvalues are not purely imaginary and their real part grows without bound as the wave-number increases. Unlike Eckart's theory, this instability is not present when the time direction is aligned with the fluid's direction. However, since in general the fluid velocity is not surface-forming, the instability can only be avoided in the particular case where no rotation is present.
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