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.