| Abstract: | 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. |
