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

Shuyi Zhang

School of Science Shanghai Institute of Technology, 100 Haiquan Rd., Shanghai 201418, P.R.China.

DOI: 10.4236/am.2012.37101                

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.

Keywords

Non-Isothermal Phase Transitions; Euler Equations; Multidimensional Stability

Conflicts of Interest

The authors declare no conflicts of interest.

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