Relativistic fluid mechanics is an important research tool for studying quark gluon plasmas. Due to the complexity of the equations, they are generally handled numerically. In 2015, we made great progress in the analytical solution of relativistic fluid mechanics. Through the technique of conformal transformation, on the one hand, we have found some exact solutions for the conformal relativistic hydrodynamic equations [1], and have been verified by numerical calculations [2]. We have also found a finite density under the condition of limited chemical potential. The analytical solution of relativistic fluid mechanics [3], the resulting elliptic flow results are in good agreement with the data obtained by STAR's recent energy scan measurements [3, 5, Fig. 1, hydro15]. The research results were published in Phys. Rev.D 91, 085024 (2015), Phys.Rev. D 91, no. 7, 074027 (2015), respectively.
