Equilibrium Figures for a Rotating Compressible Capillary Two-Layer Liquid

Irina Vladimirovna Denisova; Vsevolod Alexeevich Solonnikov

doi:10.20944/preprints202311.0712.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 9 November 2023 / Approved: 10 November 2023 / Online: 10 November 2023 (13:25:43 CET)

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.

equilibrium figures; viscous compressible two-layer fluid; capillary forces; interface problem for the Navier – Stokes system; the Hölder spaces

Computer Science and Mathematics, Mathematics

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Equilibrium Figures for a Rotating Compressible Capillary Two-Layer Liquid

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