Stability of Multidimensional Phase Transitions in a Steady van der Waals Flow

在这篇论文，作者在货车 der Waals 类型的稳定的超声的流动学习亚声的阶段转变的多维的稳定性。粘性毛细作用标准(在里面“拱门。老鼠。Mech。肛门， 81 (4 ) ， 1983， 301 315') 被用来寻求物理可被考虑的平面波浪。由显示出 Lopatinski 决定因素是非零，亚声的阶段转变在 Majda 的意义是一致地稳定的，这被证明(在里面“ Mem。Amer。数学。Soc， 41 (275 ) ， 1983， 1 95') 在两一维、多维的不安下面。

In this paper, the author studies the multidimensional stability of subsonic phase transitions in a steady supersonic flow of van der Waals type. The viscosity capillarity criterion （in ＂Arch. Rat. Mech. Anal., 81（4）, 1983, 301-315＂） is used to seek physical admissible planar waves. By showing the Lopatinski determinant being non-zero, it is proved that subsonic phase transitions are uniformly stable in the sense of Majda （in ＂Mem. Amer. Math. Soc., 41（275）, 1983, 1-95＂） under both one dimensional and multidimensional perturbations.