摘要
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.