Strip deformation problem in three models of hydrodynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 211 (2022) no. 2, pp. 306-318

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We study the problem of a deformation of a straight strip bounded by an impermeable solid wall and a parallel free boundary. Three models of an incompressible fluid are considered: ideal fluid, classical viscous fluid, and dilute solution of a polymer. The influence of the viscous and relaxation factors on the qualitative pattern of fluid motion is revealed.
Mots-clés : incompressible fluid, aqueous solution of a polymer
Keywords: problem with a free boundary, solution breakdown.
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     author = {V. V. Pukhnachov},
     title = {Strip deformation problem in three models of hydrodynamics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
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     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_211_2_a9/}
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V. V. Pukhnachov. Strip deformation problem in three models of hydrodynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 211 (2022) no. 2, pp. 306-318. http://geodesic.mathdoc.fr/item/TMF_2022_211_2_a9/