An Improved Result on Rayleigh--Taylor Instability of Nonhomogeneous Incompressible Viscous Flows

@article{Jiang2015AnIR,
title={An Improved Result on Rayleigh--Taylor Instability of Nonhomogeneous Incompressible Viscous Flows},
author={Fei Jiang},
journal={arXiv: Analysis of PDEs},
year={2015}
}
• F. Jiang
• Published 2 January 2015
• Mathematics
• arXiv: Analysis of PDEs
In [F. Jiang, S. Jiang, On instability and stability of three-dimensional gravity driven viscous flows in a bounded domain, Adv. Math., 264 (2014) 831--863], Jiang et.al. investigated the instability of Rayleigh--Taylor steady-state of a three-dimensional nonhomogeneous incompressible viscous flow driven by gravity in a bounded domain $\Omega$ of class $C^2$. In particular, they proved the steady-state is nonlinearly unstable under a restrictive condition of that the derivative function of…
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