Skip to main content
Log in

Two classes of solutions of the fluid and gas mechanics equations and their connection to traveling wave theory

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

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.

Literature cited

  1. G. L. Dirichlet, “Untersuchungen über ein Problem der Hydrodynamik,” J. Reine Angew. Math.,58, No. 4 (1861).

  2. B. Riemann, Collection [Russian translation], Gostekhizdat, Moscow (1948).

    Google Scholar 

  3. L. V. Ovsyannikov, “New solution of the hydrodynamics equations,” Dokl. Akad. Nauk SSSR,111, No. 1 (1956).

  4. O. I. Bogoyavlenskii and S. P. Novikov, “Homogeneous models in the general theory of relativity and gas dynamics,” Usp. Mat. Nauk,31, No. 5(191) (1976).

  5. L. V. Ovsyannikov and N. Kh. Ibragimov, “Group analysis of differential equations of mechanics,” Science and Engineering Surveys, Ser. General Mechanics [in Russian], Vol. 2, VINITI, Moscow (1975).

    Google Scholar 

  6. A. F. Sidorov, “On two classes of solutions of the gas dynamics equations,” Prikl. Mekh. Tekh. Fiz., No. 5 (1980).

  7. A. F. Sidorov, “On a class of solutions of the gas dynamics and natural convection equations,” Numerical and Analytical Methods of Solving Problems of the Mechanics of a Continuous Medium [in Russian], Ural. Nauk Tsentr. Akad. Nauk SSSR, Sverdlovsk (1981).

    Google Scholar 

  8. O. N. Ul'yanov, “On two classes of gas motion in a gravity field,” Modeling in Mechanics [in Russian],2(19), No. 1 (1988).

  9. A. F. Sidorov, “On two kinds of swirling gas flows,” Prikl. Mat. Mekh.,47, No. 5 (1983).

  10. O. N. Ul'yanov, “On a class of solutions of the gas dynamics equations,” Approximate Methods of Solving Boundary-Value Problems of the Mechanics of a Continuous Medium [in Russian], Ural. Nauk Tsentr. Akad. Nauk SSSR, Sverdlovsk (1985).

    Google Scholar 

  11. O. N. Ul'yanov, “On a class of swirling gas flows,” Modeling Procedure of Hydro-gas Dynamics and Power Engineering., Trans. of All-Union Conference of Young Scientific Experts, Inst. Teor. Prikl. Mekh. Sib. Otd. Akad. Nauk SSSR, Novosibirsk (1985).

    Google Scholar 

  12. A. F. Sidorov, V. P. Shapeev, and N. N. Yanenko, Method of Differential Relations and Its Application in Gas Dynamics [in Russian], Nauka, Novosibirsk (1984).

    Google Scholar 

  13. S. V. Meleshko, “On the classification of plane isentropic gas flows of the double wave type,” Prikl. Mat. Mekh.,49, No. 3 (1985).

  14. L. V. Ovsyannikov, Group Analysis of Differential Equations [in Russian], Nauka, Moscow (1978).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 34–40, March–April, 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sidorov, A.F. Two classes of solutions of the fluid and gas mechanics equations and their connection to traveling wave theory. J Appl Mech Tech Phys 30, 197–203 (1989). https://doi.org/10.1007/BF00852164

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00852164

Keywords

Navigation