Skip to main content
SpringerLink
Log in

Nonstationary Boundary Layer of a Fluid with the Ladyzhenskaya Rheological Law

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

The unique solvability of the problem for the equations governing a nonstationary boundary layer of a viscous fluid subject to the Ladyzhenskaya rheological law is studied in the literature for the first time. We prove the existence and uniqueness of a solution to the problem. Bibliography: 7 titles.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. V. N. Samokhin and G. A. Chechkin, “Equations of boundary layer for a generalized Newtonian medium near a critical point,” J. Math. Sci., New York 234, No. 4, 485–496 (2018).

    Article  MathSciNet  Google Scholar 

  2. O. A. Oleinik and V. N. Samokhin, Mathematical Models in Boundary Layer Theory, Chapman Hall, CRC, Boca Raton, FL (1999).

    MATH  Google Scholar 

  3. R. R. Bulatova, V. N. Samokhin, and G. A. Chechkin, “Equations of magnetohydrodynamic boundary layer for a modified incompressible viscous medium. Boundary layer separation,” J. Math. Sci., New York 232, No. 3, 299–321 (2018).

    Article  MathSciNet  Google Scholar 

  4. V. N. Samokhin, G. M. Fadeeva, and G. A. Chechkin “Equations of the boundary layer for a modified Navier-Stokes system” J. Math. Sci., New York 179, No. 4, 557–577 (2011).

    Article  MathSciNet  Google Scholar 

  5. R. R. Bulatova, G. A. Chechkin, T. P. Chechkina, and V. N. Samokhin, “On the influence of a magnetic field on the separation of the boundary layer of a non–Newtonian MHD medium,” C. R., Méc., Acad. Sci. Paris 346, No. 9, 807–814 (2018).

    Google Scholar 

  6. R. R. Bulatova, V. N. Samokhin, and G. A. Chechkin, “Equations of symmetric boundary layer for the Ladyzhenskaya model of a viscous medium in the Crocco variables,” J. Math. Sci., New York 242, No. 1, 85–118 (2019).

    Article  MathSciNet  Google Scholar 

  7. R. R. Bulatova, V. N. Samokhin, and G. A. Chechkin, “System of boundary layer equations for a rheologically complicated medium: Crocco variables,” Dokl. Math. 100, No. 1, 332–338 (2019).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, 119991, Russia

    R. R. Bulatova

  2. Moscow Politechnic University, 2A Pryanishnikova St, Moscow, 127550, Russia

    V. N. Samokhin

  3. Lomonosov Moscow State University Institute of Mathematics with Computing Centre, 112, Chernyshevskogo St, Ufa, 450008, Russia

    G. A. Chechkin

Authors
  1. R. R. Bulatova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. N. Samokhin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. A. Chechkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to R. R. Bulatova, V. N. Samokhin or G. A. Chechkin.

Additional information

Translated from Problemy Matematicheskogo Analiza 103, 2020, pp. 31-42.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bulatova, R.R., Samokhin, V.N. & Chechkin, G.A. Nonstationary Boundary Layer of a Fluid with the Ladyzhenskaya Rheological Law. J Math Sci 249, 850–863 (2020). https://doi.org/10.1007/s10958-020-04979-8

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-020-04979-8

Search

Navigation