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Equilibrium Figures for a Rotating Compressible Capillary Two-Layer Liquid

Author

Listed:
  • Irina Vladimirovna Denisova

    (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, 61 Bol’shoy Av., V. O., St. Petersburg 199178, Russia)

  • Vsevolod Alexeevich Solonnikov

    (St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, 27 Fontanka, St. Petersburg 191023, Russia)

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 and 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.

Suggested Citation

  • Irina Vladimirovna Denisova & Vsevolod Alexeevich Solonnikov, 2023. "Equilibrium Figures for a Rotating Compressible Capillary Two-Layer Liquid," Mathematics, MDPI, vol. 12(1), pages 1-15, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2023:i:1:p:94-:d:1308472
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