论文标题
以对称双曲线形式编写的非等渗的爱因斯坦欧拉
The non-isentropic Einstein-Euler system written in a symmetric hyperbolic form
论文作者
论文摘要
我们将非等渗的相对论Euler系统投射到对称双曲线形式中。这样的系统非常适合治疗双曲线类型的初始价值问题。我们通过使用压力$ p $而不是密度$ρ$作为变量获得此表格。但是，当压力$ p $接近零时，该系统会退化，在这些情况下，我们通过用适当的新物质变量（makino变量）替换压力来使系统正规化。
We cast the non--isentropic relativistic Euler system into a symmetric hyperbolic form. Such systems are very suited to treat initial value problems of hyperbolic type. We obtain this form by using the pressure $p$ and not the density $ρ$ as a variable. However, the system becomes degenerate when the pressure $p$ approaches zero, and in these cases we regularise the system by replacing the pressure with an appropriate new matter variable, the Makino variable.
