Geodesic
On a~relaxing motion of a~hydromechanical system
Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 2, pp. 119-124

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We obtain the exact solution to the problem on a relaxing rotation of a solid (a cylinder) and the viscous fluid surrounding it that is at rest at infinity. A series of nontrivial peculiarities of the dynamics of this hydromechanical system is revealed. In particular, we prove that the fluid can move at a velocity exceeding that of the boundary of the solid.
Keywords: solid, free relaxing motion, wave of maximum fluid velocity.
Mots-clés : viscous fluid 
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     author = {V. L. Sennitskii},
     title = {On a~relaxing motion of a~hydromechanical system},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {119--124},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2014_17_2_a11/}
}
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V. L. Sennitskii. On a~relaxing motion of a~hydromechanical system. Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 2, pp. 119-124. http://geodesic.mathdoc.fr/item/SJIM_2014_17_2_a11/