Numerical and analytical studies on gas flows caused by the phase transition

本文根据气体动力学理论，研究了由相变引起的一维非定常气体流动。主要结果如下。(1)本文从动力边界层的研究出发，建立了线性化问题的一般互易理论。(2)我们证明了，从某一类初始状态开始，会出现两个彼此方向相反的膨胀波，这两个膨胀波被一个高度稀薄的区域分开，该区域演化为真空。这个区域是高度非平衡的，温度是强烈的非各向同性。

We investigated the unsteady one-dimensional gas flows caused by a phase transition on the basis of the kinetic theory of gases. Main results are as follows. (1) Starting from the investigation of kinetic boundary-layer, we established a general theory of reciprocity for linearized problems. (2) We showed that from a certain class of initial states there occur two expansion waves traveling in the direction opposite to each other, which are separated by a highly rarefied region that evolves into a vacuum. This region is highly non-equilibrium and the temperature is strongly non-isotropic.