定常亚音速相变的一维稳定性

Stability of Steady Subsonic Phase Transitions

解决了van der Waals型定常超音速流体中高维亚音速相变的稳定性和存在性。为了寻找物理容许的解,应用了粘性毛细准则。通过证明Lopatinski行列式非零,建立了亚音速相变在Majda意义下的一维稳定性。

This paper focuses on the existence and the stability of multidimensional subsonic phase transitions in a steady supersonic flow of van der Waals type.The viscosity capillarity criterion is applied to seek physical admissible planar waves.By showing the Lopatinski determinant being non-zero,subsonic phase transitions are proved to be uniformly stable in the sense of Majda under one dimensional perturbations.