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} }
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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