Skip to main content
SpringerLink
Log in

Convergence analysis of asymptotic solutions in kinetic theory by means of a model kinetic equation possessing an exact solution

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

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

Literature Cited

  1. G. E. Uhlenbeck, “Some fundamental problems of statistical physics,” in: International Mathematics Congress at Edinburgh [Russian translation], GIFML, Moscow (1962).

    Google Scholar 

  2. H. Grad, “Asymptotic theory of the Boltzmann equation,” in: Rarefied Gas Dynamics, Vol. 1, Academic Press, New York (1963).

    Google Scholar 

  3. A. A. Aresen'ev, Dokl. Akad. Nauk SSSR,165, No. 6 (1965).

  4. J. E. McCune, T. F. Morse, and G. Sandri, “On the relaxation of gases toward continuum flav.,” in: Rarefied Gas Dynamics, Vol. 1, Academic Press, New York (1963).

    Google Scholar 

  5. V. V. Struminskii, Dokl. Akad. Nauk SSSR,158, No. 2 (1964).

  6. G. K. Shapovalov, Dokl. Akad. Nauk SSSR,186, No. 3 (1969).

  7. A. D. Khon'kin and G. K. Shapovalov, “Derivation of the equations of hydrodynamics from the Boltzmann kinetic equation and their region of applicability,” in: Numerical Methods of Continuum Mechanics, Vol. 4, No. 4 [in Russian], Siberian Branch, USSR Academy of Sciences, Novosibirsk (1973).

    Google Scholar 

  8. A. D. Khon'kin, “On the paradox of infinite propagation velocity of perturbations in the hydrodynamics of a viscous heat-conducting medium and the hydrodynamic equations of fast processes,” in: Aeromechanics [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  9. A. D. Khon'kin, Uch. Zap. TsAGT,8, No. 5 (1977).

  10. V. S. Galkin, Prikl. Mat. Mekh.,28, No. 1 (1964).

Download references

Authors
  1. A. D. Khon'kin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

N. E. Zhukovskii Central Aerohydrodynamic Institute. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 86, No. 1, pp. 130–135, January, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khon'kin, A.D. Convergence analysis of asymptotic solutions in kinetic theory by means of a model kinetic equation possessing an exact solution. Theor Math Phys 86, 89–93 (1991). https://doi.org/10.1007/BF01018501

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01018501

Keywords

Search

Navigation