Skip to main content
Log in

Solvability of the system of equations of one-dimensional motion of a heat-conducting two-phase mixture

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

We prove the local solvability of the initial boundary-value problem for the system of equations of one-dimensional nonstationary motion of a heat-conducting two-phase mixture (gas plus solid particles). For the case in which the real densities of the phases are constant, we establish the solvability “in the large” with respect to time.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. S. K. Garg and J.W. Pritchett, “Dynamics of gas-fluidized beds,” J. Appl. Phys. 46(10), 4493–4500 (1975).

    Article  Google Scholar 

  2. M. Göz, “Existence and uniqueness of time-dependent spatially periodic solutions of fluidized bed equations,” Z. Angew.Math. Mech. 71(6), T750–T751 (1991).

    Article  Google Scholar 

  3. S. N. Antontsev, A. V. Kazhikhov, and V. N. Monakhov, Boundary-Value Problems of the Mechanics of Inhomogeneous Fluids (Nauka (Sibirsk. Otdel.), Novosibirsk, 1983) [in Russian].

    MATH  Google Scholar 

  4. Y. I. Kanel’, “A model system of equations for the one-dimensional motion of a gas,” Differ. Uravn. 4(4), 721–734 (1968).

    MathSciNet  Google Scholar 

  5. O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural’tseva, Linear and Quasilinear Equations of Parabolic Type (Moscow, Nauka, 1967) [in Russian].

    MATH  Google Scholar 

  6. R. Edwards, Functional Analysis: Theory and Applications (New York, 1965; Mir, Moscow, 1969).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. A. Papin.

Additional information

Original Russian Text © A. A. Papin, I. G. Akhmerova, 2010, published in Matematicheskie Zametki, 2010, Vol. 87, No. 2, pp. 246–261.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Papin, A.A., Akhmerova, I.G. Solvability of the system of equations of one-dimensional motion of a heat-conducting two-phase mixture. Math Notes 87, 230–243 (2010). https://doi.org/10.1134/S0001434610010293

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434610010293

Key words

Navigation