On Rotation of a Fluid Layer
E. N. Zhuravleva1,2, V. V. Pukhnachev1,2
1Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
2Novosibirsk State University, Novosibirsk, 630090 Russia
Keywords: fluid flow with a free boundary, exact solutions
Abstract
A problem of rotation of a fluid layer bounded by a solid plane and a free surface parallel to this plane is considered. The fluid can be an ideal or a viscous fluid. Conditions for the existence of solutions of the corresponding problems for the Euler and Navier-Stokes equations on an infinite time interval are formulated. Examples of the numerical solution of the problem are presented.
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