# Rayleigh-Taylor instability for the two-phase Navier-Stokes equations with surface tension in cylindrical domains

@article{Wilke2017RayleighTaylorIF, title={Rayleigh-Taylor instability for the two-phase Navier-Stokes equations with surface tension in cylindrical domains}, author={Mathias Wilke}, journal={arXiv: Analysis of PDEs}, year={2017} }

This article is concerned with the dynamic behaviour of two immiscible and incompressible fluids in a cylindrical domain, which are separated by a sharp interface. In case that the heavy fluid is situated on top of the light fluid, one expects that the fluid on top sags down into the lower phase. This effect is known as the Rayleigh-Taylor-Instability. We present a rather complete analysis of the corresponding free boundary problem which involves a contact angle. Our main result implies the…

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