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Equilibrium Figures for a Rotating Compressible Capillary Two-Layer Liquid
Version 1
: Received: 9 November 2023 / Approved: 10 November 2023 / Online: 10 November 2023 (13:25:43 CET)
A peer-reviewed article of this Preprint also exists.
Denisova, I.V.; Solonnikov, V.A. Equilibrium Figures for a Rotating Compressible Capillary Two-Layer Liquid. Mathematics 2024, 12, 94. Denisova, I.V.; Solonnikov, V.A. Equilibrium Figures for a Rotating Compressible Capillary Two-Layer Liquid. Mathematics 2024, 12, 94.
Abstract
The paper proves the existence of a family of axisymmetric equilibrium figures as solutions of a stationary problem with unknown boundaries for the Navier–Stokes equations corresponding to the slow rotation of a viscous compressible two-layer liquid mass about some axis. It is assumed that the liquids are barotropic, capillary and have different viscosities, the internal fluid being bounded by a closed surface. This interface does not intersect with the external boundary of the cloud. The proof is based on implicit function theorem and carried out in the Hölder spaces.
Keywords
equilibrium figures; viscous compressible two-layer fluid; capillary forces; interface problem for the Navier – Stokes system; the Hölder spaces
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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