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On an Unsteady Boundary Layer of a Viscous Rheologically Complex Fluid

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Abstract

We consider a nonstationary Prandtl-type system of equations that describes the behavior of a boundary layer of a viscous incompressible fluid in the modification of O. A. Ladyzhenskaya. We prove an existence and uniqueness theorem both in Cartesian coordinates and in terms of the Crocco variables.

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References

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Funding

This work is supported by the Russian Science Foundation under grant 20-11-20272.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Leninskie Gory 1, Moscow, 119991, Russia

    R. R. Bulatova & G. A. Chechkin

  2. Moscow Polytechnic University, Bol’shaya Semenovskaya ul. 38, Moscow, 107023, Russia

    V. N. Samokhin

  3. Institute of Mathematics with Computing Centre, Ufa Federal Research Centre of the Russian Academy of Sciences, ul. Chernyshevskogo 112, Ufa, 450008, Russia

    G. A. Chechkin

Authors
  1. R. R. Bulatova
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  2. V. N. Samokhin
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  3. G. A. Chechkin
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Corresponding author

Correspondence to R. R. Bulatova.

Additional information

Dedicated to Valery Vasil’evich Kozlov

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Bulatova, R.R., Samokhin, V.N. & Chechkin, G.A. On an Unsteady Boundary Layer of a Viscous Rheologically Complex Fluid. Proc. Steklov Inst. Math. 310, 32–69 (2020). https://doi.org/10.1134/S0081543820050041

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  • DOI: https://doi.org/10.1134/S0081543820050041

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