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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     author = {R. R. Bulatova},
     title = {Unsteady boundary layer of a modified viscous fluid},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {10--15},
     publisher = {mathdoc},
     volume = {191},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_191_a1/}
}
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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/