Study on the discontinuity and singularity in the kinetic theory of gases

在动力学理论中，气体行为是通过无数气体分子的速度分布来研究的。在本研究中，我们阐明了在平面物体表面附近，密度、温度、流速等宏观量沿其法线方向的变化是无限陡峭的，更准确地说，其变化率是对数的。我们还确定了这种发散的来源是气体分子在平面体表面的速度分布的不连续跳跃。

In the kinetic theory, the gas behavior is investigated through the velocity distribution of innumerable gas molecules. In the present study, we have clarified that the macroscopic quantities, such as density, temperature, flow velocity, varies indefinitely steeply near the surface of planar body in its normal direction; to be more precisely, the variation rate is logarithmic. We have also identified that the source of this divergence is the discontinuous jump of velocity distribution of gas molecules on the surface of planar body.