Article citationsMore>>

S. Benzoni-Gavage, “Stability of Multi-Dimensional Phase Transitions in a Van Der Waals Fluid,” Nonlinear Analysis, Vol. 31, No. 1-2, 1998, pp. 243-263. doi:10.1016/S0362-546X(96)00309-4

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.