摘要
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.
出处
《上海应用技术学院学报(自然科学版)》
2010年第4期278-283,314,共7页
Journal of Shanghai Institute of Technology: Natural Science
基金
国家自然科学基金资助项目(10901107)
上海市教育委员会科研创新项目资助(09YZ384)