Abstract
The axisymmetric motion of a viscous incompressible fluid in a layer bounded by a solid plane and the free surface parallel to it is considered. There are three regimes of motion in the problem: stabilization to rest, collapse in a finite time, and an intermediate self-similar regime in which the viscous layer expands unlimitedly in an infinite time.
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Funding
This work was supported by the Russian Foundation for Basic Research, project no. 19-01-00096.
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Translated by A. Nikol’skii
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Zhuravleva, E.N., Pukhnachev, V.V. A Problem on a Viscous Layer Deformation. Dokl. Phys. 65, 60–63 (2020). https://doi.org/10.1134/S102833582002010X
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DOI: https://doi.org/10.1134/S102833582002010X