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| Stability of Multidimensional Phase Transitions |
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Citation： |
Shuyi ZHANG.Stability of Multidimensional Phase Transitions[J].Chinese Annals of Mathematics B,2008,29(3):223~238 |
| Page view： 1148
Net amount： 838 |
Authors： |
Shuyi ZHANG; |
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| Abstract： |
In this paper, the author studies the multidimensional stability of subsonic phase transitions in a steady supersonic flow of van der Waals type. The viscosity capillarity criterion (in ``Arch. Rat. Mech. Anal., 81(4), 1983, 301--315") is used to seek physical admissible planar waves. By showing the Lopatinski determinant being non-zero, it is proved that subsonic phase transitions are uniformly stable in the sense of Majda (in ``Mem. Amer. Math. Soc., 41(275), 1983, 1--95") under both one dimensional and multidimensional perturbations. |
Keywords： |
Supersonic flows, Subsonic phase transitions, Euler equations, Multi-dimensional stability |
Classification： |
35L45, 35L50 |
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