S.-Y. Zhang, “Discontinuous Solutions to the Euler Equations in a Van Der Waals Fluid,” Applied Mathematics Letters, Vol. 20, No. 2, 2007, pp. 170-176. doi:10.1016/j.aml.2006.03.010

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.