Abstract
Ellipticity as the underlying mechanism for instabilities of physical systems is highlighted in the study of model nonlinear evolution equations with dissipation and the study of phase transition in Van der Waals fluid. Interesting results include spiky solutions, chaotic behavior in the context of partial differential equations, as well as the nucleation process due to ellipticity in phase transition.
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Hsieh, D.Y., Tang, S.Q. & Wang, X.P. On hydrodynamic instabilities, chaos and phase transition. Acta Mech Sinica 12, 1–14 (1996). https://doi.org/10.1007/BF02486757
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DOI: https://doi.org/10.1007/BF02486757