<p>We use harmonic polynomials to determine approximate solutions for the Stokes–Zhukovskii potential and the associated inertia tensor of a solid body in the form of a horizontal truncated toroidal cavity completely filled with an ideal liquid. A variational method is developed for solving the corresponding boundary-value problems.</p>

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ON THE STOKES–ZHUKOVSKII POTENTIAL FOR A TOROIDAL CAVITY

  • Oleksandr Solodun

摘要

We use harmonic polynomials to determine approximate solutions for the Stokes–Zhukovskii potential and the associated inertia tensor of a solid body in the form of a horizontal truncated toroidal cavity completely filled with an ideal liquid. A variational method is developed for solving the corresponding boundary-value problems.