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H. Hattori, “The Riemann Problem for a Van Der Waals fluid with Entropy Rate Admissibility Criterion Nonisothermal Case,” Journal of Differential Equations, Vol. 65, No. 2, 1986, pp. 158-174. doi:10.1016/0022-0396(86)90031-8

has been cited by the following article:

• TITLE: Multidimensional Stability of Subsonic Phase Transitions in a Non-Isothermal Van Der Waals Fluid

  AUTHORS: Shuyi Zhang

  KEYWORDS: Non-Isothermal Phase Transitions; Euler Equations; Multidimensional Stability

  JOURNAL NAME: Applied Mathematics, Vol.3 No.7, June 19, 2012

  ABSTRACT: We show the multidimensional stability of subsonic phase transitions in a non-isothermal van der Waals fluid. Based on the existence result of planar waves in our previous work [1], a jump condition is posed on non-isothermal phase boundaries which makes the argument possible. Stability of planar waves both in one dimensional and multidi-mensional spaces are proved.