Stability of non-isothermal phase transitions in a steady van der Waals flow |
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Authors: | Shu-Yi Zhang |
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Institution: | 1. Business Information Management School, Shanghai Institute of Foreign Trade, 1900 Wenxiang Rd., Shanghai, 201620, People’s Republic of China
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Abstract: | This paper is concerned with the multidimensional stability of non-isothermal subsonic phase transitions in a steady supersonic flow of van der Waals type. For the sake of seeking physical admissible planar waves, the viscosity–capillarity criterion (Slemrod in Arch Ration Mech Anal 81(4):301–315, 1983) is chosen to be the admissible criterion. By showing the Lopatinski determinant being non-zero, we prove that subsonic phase transitions are uniformly stable in the sense of Majda (Mem Am Math Soc 41(275):1–95, 1983) under both one-dimensional and multidimensional perturbations. |
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