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On hydrodynamic instabilities,chaos and phase transition
Authors:D Y Hsieh  S Q Tang  X P Wang
Institution:(1) Department of Mathematics, The Hong Kong University of Science and Technology Clear Water Bay, Kowloon, Hong Kong;(2) Present address: Institute of Mathematics, Chinese Academy of Sciences, 100080 Beijing, China
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.
Keywords:ellipticity  hydrodynamic instabilities  chaos  phase transition
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