Skip to main content
Log in

Solvability of the Boundary-Value Problem for a Mathematical Model of Steady-State Flows of Nonlinear-Viscous Fluids

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

We establish an existence theorem for weak solutions of the boundary-value problem for steady-state equations describing both laminar and turbulent flows of nonlinear-viscous fluids.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. L. D. Landau and E. M. Lifshits, Hydrodynamics [in Russian], vol. 6, Series “Theoretical Physics,” Nauka, Moscow, 1986.

    Google Scholar 

  2. W. G. Litvinov, “Some models and problems for laminar and turbulent flows of viscous and nonlinear viscous fluids,” J. Math. Phys. Sci., 30 (1996), no. 3, 101-157.

    Google Scholar 

  3. V. T. Dmitrienko and V. G. Zvyagin, “Topological degree method in the equations of the Navier-Stokes type,” Abstract and Applied Analysis, 1-2 (1997), 1-45.

    Google Scholar 

  4. M. A. Krasnosel'skii, Topological Methods in Theory of Nonlinear Integral Equations [in Russian], Gostekhizdat, Moscow, 1956.

    Google Scholar 

  5. J. Appell and P. P. Zabrejko, Nonlinear Superposition Operators, Cambridge Univ. Press, 1990.

  6. H. Gajewski, K. Gröger, and K. Zacharias, Nichtlineare Operatorgleichungen und Operatordi.erentialgleichungen, Akademie Verlag, Berlin, 1974.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dmitrienko, V.T., Zvyagin, V.G. Solvability of the Boundary-Value Problem for a Mathematical Model of Steady-State Flows of Nonlinear-Viscous Fluids. Mathematical Notes 69, 770–779 (2001). https://doi.org/10.1023/A:1010226330684

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1010226330684

Navigation