(3+1)维相对论流体力学方程的研究

The research for(3+1) dimensional relativity hydrodynamic equations

在高能重离子碰撞的系统演化研究中,相对论流体动力学被广泛应用.而利用相对论流体动力学模拟源的演化的基础是运动学方程.于莉莉等人首先提出了(1+1)维球形演化源方程,在此基础上,尹洪杰等人推导出(2+1)维柱形演化源方程.真实源的演化并非各向同性,因而本文给出了(3+1)维椭圆柱形演化源方程.文中先回顾已有的(1+1)维和(2+1)维方程,然后再给出(3+1)维方程,同时陈述其求解过程,这是模拟真实源演化过程重要的理论基础.

Relativistic hydrodynamics is widely used to study the evolution of systems in high energy heavy ion collisions. The basis of simulate source evolution using relativistic hydrodynamics is the kinematic equation. （ 1 ＋ 1 ） - dimensional spherical evolution equation is first proposed by Yu Lili et al. On this basis, （2 ＋ 1 ） - dimensional cylindrical source evolution equation is derived by Yin Hongjie et al. The evolution of the real source is not isotropic, so the （3 ＋ 1 ） - dimensional elliptic cylindrical evolution equation is given in this paper. It reviews the existing （ 1 ＋ 1 ） and （2 ＋ 1 ） - dimensional equations firstly, and then provide （3 ＋ 1 ） - dimensional equation, state the solving process at same time. It is an important theoretical basis simulating the evolution of real source.