Geodesic
Unsteady boundary layer of a modified viscous fluid
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 2, Tome 191 (2021), pp. 10-15.

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In this paper, a system of equations for a nonstationary, symmetric boundary layer of a nonlinearly viscous, incompressible fluid is studied. By using the Crocco transformation, we reduce the boundary-layer system to a single quasilinear degenerate parabolic equation. The unique solvability of the main boundary-value problem is proved.
Keywords: boundary layer, unsteady flow, modified Ladyzhenskaya fluid.
Mots-clés : Crocco variables 
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R. R. Bulatova. Unsteady boundary layer of a modified viscous fluid. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 2, Tome 191 (2021), pp. 10-15. http://geodesic.mathdoc.fr/item/INTO_2021_191_a1/

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[4] Samokhin V. N., Chechkin G. A., “Uravneniya pogranichnogo sloya obobschenno nyutonovskoi sredy v okrestnosti kriticheskoi tochki”, Tr. semin. im. I. G. Petrovskogo., 31 (2016), 158–176

[5] Bulatova R. R., Chechkin G. A., Chechkina T. P. and Samokhin V. N., “On the influence of a magnetic field on the separation of the boundary layer of a non-Newtonian MHD medium”, C. R. Mecanique., 346:9 (2018), 807–814 | DOI