Skip to main content
Log in

Flow Asymptotics of a Viscous Compressible Fluid with Discontinuous Initial Data

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

Asymptotics of a continuous solution to a plane problem on the motion of a viscous incompressible fluid with discontinuous initial velocity and pressure fields is studied by the boundary‐layer method with simultaneous stretching of space and time coordinates.

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. N. E. Kochin, I. A. Kibel’, and N. V. Rose, Theoretical Hydromechanics [in Russian], Vol. 1, Fizmatgiz, Moscow (1963).

    Google Scholar 

  2. A. G. Kulikovskii and G. A. Lubimov, Magnetic Hydrodynamics [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  3. R. Courant and K. Friedrichs, Supersonic Flow and Shock Waves, Interscience, New York (1948).

    Google Scholar 

  4. L. G. Loitsyanskii, Laminar Boundary Layer [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  5. L. S. Srubshchik and V. I. Yudovich, “Asymptotics of weak discontinuities of fluid flow at vanishing viscosity,” Dokl. Akad. Nauk SSSR, 199, No. 3, 563–566 (1971).

    Google Scholar 

  6. G. G. Chernyi, “Laminar motions of gas and fluid in the boundary layer with a discontinuity surface,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, No. 2, 38–68 (1954).

    Google Scholar 

  7. V. I. Yudovich, “On asymptotic integration of the Navier-Stokes system at a shock applied to a fluid,” Rostovon-Don (1993). Deposited at VINITI, 07.14.93, No. 1981-B93.

  8. M. I. Vishik and L. A. Lusternik, “Regular degeneracy and boundary layer for linear differential equations with a small parameter,” Usp. Mat. Nauk, 12, No. 5, 3–120 (1957).

    Google Scholar 

  9. A. B. Usov, “Asymptotic behavior of a ow with a free surface,” J. Appl. Mech. Tech. Phys., 37, No. 1, 41–47 (1996).

    Google Scholar 

  10. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Gostekhteoretizdat, Moscow (1953).

    Google Scholar 

  11. G. I. Marchuk, Methods of Computational Mathematics [in Russian], Nauka, Moscow (1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Usov, A.B. Flow Asymptotics of a Viscous Compressible Fluid with Discontinuous Initial Data. Journal of Applied Mechanics and Technical Physics 44, 204–211 (2003). https://doi.org/10.1023/A:1022592326329

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1022592326329

Navigation