Article citationsMore>>

P. G. LeFloch, “Propagating Phase Boundaries: Formulation of the Problem and Existence via the Glimm Method,” Archive for Rational Mechanics and Analysis, Vol. 123, No. 2, 1993, pp. 153-197. doi:10.1007/BF00695275

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.