中文摘要：

研究了带人工黏性的非理想流体动力学方程组的周期边值问题,给出了此类流体方程组全局解的存在性,通过能量估计方法,证明了该问题的全局解渐近收敛到定常问题的解。

英文摘要：

A model system of non-ideal fluids with artificial viscosity and a periodic boundary value problem has been investigated and the existence and asymptotic stabilities of the global solutions of the fluids have been proved.By the energy method,the steady-state solution has been shown to have asymptotic stability.