摘要
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.
关键词
超音速流
次音速相位转移
欧拉方程
稳定性
Supersonic flows, Subsonic phase transitions, Euler equations,Multi-dimensional stability