标题： 恩斯科格方程的流体动力学极限及保证的H定理 显示英文标题

标题： Fluid-dynamic limit of the Enskog equation with the guaranteed H-theorem

摘要： 基于Chapman-Enskog方法，讨论了经过轻微修改的Enskog方程的流体动力学极限。 最近，本文作者证明了这种修改后的Enskog方程能够保证H定理。 在本文中，证明了这种修改后的版本在至少Navier-Stokes-Fourier方程组范围内，能够恢复与原始Enskog方程相同的稠密气体流体动力学描述。 由于原始Enskog方程已知能够很好地恢复流体动力学输运性质，这一结果意味着修改后的Enskog方程在热力学和流体动力学方面都提供了一致的描述。 显示英文摘要

摘要： The fluid-dynamic limit of the Enskog equation with a slight modification is discussed on the basis of the Chapman-Enskog method. This modified version of the Enskog equation has been shown recently by the present authors to ensure the H-theorem. In the present paper, it is shown that the modified version recovers the same fluid-dynamic description of the dense gas as the original Enskog equation, at least up to the level of the Navier-Stokes-Fourier set of equations inclusive. Since the original Enskog equation is known to recover the fluid-dynamical transport properties well, this result implies that the modified version of the Enskog equation provides consistent descriptions both thermodynamically and fluid-dynamically.