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Asymptotic Integration of the Navier–Stokes System with a Rapidly Oscillating Mass Force

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REFERENCES

  1. Levenshtam, V.B., Differents. Uravn., 1995, vol. 31, no. 5, pp. 814-822.

    Google Scholar 

  2. Levenshtam, V.B., Differents. Uravn., 1998, vol. 34, no. 4, pp. 523-532.

    Google Scholar 

  3. Bogolyubov, N.N. and Mitropol'skii, Yu.A., Asimptoticheskie metody v teorii nelineinykh kolebanii (Asymptotic Methods in the Theory of Nonlinear Oscillations), Moscow, 1955.

  4. Simonenko, I.B., Mat. Sb., 1972, vol. 87(129), pp. 236-253.

    Google Scholar 

  5. Simonenko, I.B., Mat. Sb., 1973, vol. 92, pp. 541-549.

    Google Scholar 

  6. Vishik, M.I. and Lyusternik, L.A., Uspekhi Mat. Nauk, 1960, vol. 15, no. 4, pp. 3-95.

    Google Scholar 

  7. Ladyzhenskaya, O.A., Matematicheskie voprosy dinamiki vyazkoi neszhimaemoi zhidkosti (Mathematical Problems of Dynamics of a Viscous Incompressible Fluid), Moscow, 1970.

  8. Yudovich, V.I., Metod linearizatsii v gidrodinamicheskoi teorii ustoichivosti (Linearization Method in Hydrodynamic Stability Theory), Rostov-on-Don, 1984.

  9. Levenshtam, V.B., Sib. Mat. Zh., 1996, vol. 37, no. 5, pp. 1103-1116.

    Google Scholar 

  10. Solonnikov, V.A., Tr. Mat. inst. Akad. Nauk SSSR, 1964, vol. 73, pp. 221-291.

    Google Scholar 

  11. Kochin, N.E., Kibel', I.A., and Roze, N.V., Teoreticheskaya gidromekhanika (Theoretical Hydrodynamics), Moscow, 1963, parts 1, 2.

  12. Sobolevskii, P.E., Dokl. Akad. Nauk SSSR, 1964, vol. 157, no. 1, pp. 62-65.

    Google Scholar 

  13. Krasnosel'skii, M.A., Zabreiko, P.P., Pustyl'nik, E.I., and Sobolevskii, P.E., Integral'nye operatory v prostranstvakh summiruemykh funktsii (Integral Operators in Spaces of Integrable Functions), Moscow, 1966.

  14. Simonenko, I.B., Mat. Sb., 1970, vol. 81(123), pp. 53-61.

    Google Scholar 

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  1. Rostov State University, Rostov-on-Don, Russia

    V. B. Levenshtam

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Levenshtam, V.B. Asymptotic Integration of the Navier–Stokes System with a Rapidly Oscillating Mass Force. Differential Equations 37, 732–742 (2001). https://doi.org/10.1023/A:1019228901785

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