(3+1)维相对论流体力学方程的研究

摘要

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.%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.