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arXiv · 2208.06654

Global stability of the compressible viscous surface waves in an infinite layer

Guilong Gui·Zhifei Zhang
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Abstract

We investigate in this paper the global stability of the compressible viscous surface waves in the absence of surface tension effect with a steady-state violating Rayleigh-Taylor instability and the reference domain being the horizontal infinite layer. The fluid dynamics are governed by the 3-D gravity-driven isentropic compressible Navier-Stokes equations. We develop a mathematical approach to establish global well-posedness of free boundary problems of the multi-dimensional compressible Navier-Stokes system based on the Lagrangian framework, which requires no nonlinear compatibility conditions on the initial data.

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Guilong Gui, Zhifei Zhang. 2022-08-13. Global stability of the compressible viscous surface waves in an infinite layer. https://doi.org/10.2140/paa.2025.7.535

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