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Asymptotic behavior of the solutions of the system of kinetic coefficient equations for uniform flows of a Maxwellian gas

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References

  1. V. S. Galkin, “A class of solutions of the Grad kinetic moment equations”, Prikl. matem. i mekh., vol. 22, no. 3, 1958.

  2. V. S. Galkin, “Exact solutions of the kinetic moment equations of a mixture of monatomic gases”, MZhG [Fluid Dynamics], no. 5, 1966.

  3. A. A. Nikol'skii, “On a general class of uniform motions of continuous media and rarefied gases”, Inzh. zh. [Soviet Engineering Journal], vol. 5, no. 6, 1965.

  4. A. A. Borisov, “Asymptotic behavior of some solutions of the Grad kinetic moment system,“Inzh. zh. [Soviet Engineering Journal], vol. 5, no. 6, 1965.

  5. G. Grad, “On the kinetic theory of rarefied gases”, in: Mechanics [Russian translation], IL, nos. 4 and 5, 1952.

  6. E. Kamke, Handbook on Differential Equations [Russian translation], IL, 1965.

  7. R. Bellman, Stability of Solutions of Differential Equations [Russian translation]. IL, 1954.

  8. E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations [Russian translation], IL, 1958.

  9. A. A. Nikol'skii, “Three-dimensional uniform expansion-compression of a rarefied gas with power-law interaction functions”, DAN SSSR, vol. 151, no. 3, 1963.

  10. A. S. Borisov and F. G. Cheremisin, “Problem with initial data for the relaxation kinetic equation in a uniformly expanding (contracting) gas”, Inzh. zh. [Soviet Engineering Journal], vol. 5, no. 2, 1965.

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  1. Moscow

    A. S. Borisov

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  1. A. S. Borisov
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In conclusion the author thanks A. A. Nikol'skii and V. S. Galkin for helpful discussions.

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Borisov, A.S. Asymptotic behavior of the solutions of the system of kinetic coefficient equations for uniform flows of a Maxwellian gas. Fluid Dyn 2, 89–90 (1967). https://doi.org/10.1007/BF01024815

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  • DOI: https://doi.org/10.1007/BF01024815

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