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Conditional symmetry of the Navier-Stokes equations

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Abstract

We study the conditional symmetry of the Navier-Stokes equations and construct multiparameter families of exact solutions of the Navier-Stokes equations.

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References

  1. V. I. Fushchich, V. M. Shtelen’, and N. I. Serov, Symmetry Analysis and Exact Solutions of Equations in Nonlinear Mathematical Physics [in Russian], Naukova Dumka, Kiev (1989).

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  2. V. I. Fushchich, “Conditional symmetry of equations in nonlinear mathematical physics,” Ukr. Mat. Zh., 43, No. 11, 1456–1470 (1991).

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  3. N. I. Serov, “Conditional symmetry of equations in nonlinear mathematical physics,” Ukr. Mat. Zh., 42, No. 10, 1370–1376 (1990).

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  4. V. I. Fushchich, N. I. Serov, and L. A. Tulupova, “The conditional invariance and exact solutions of the nonlinear diffusion equation,” Dopov. Ukr. Akad. Nauk, No. 4, 37–40 (1993).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    M. I. Serov & L. O. Tulupova

Authors
  1. V. I. Fushchich
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  2. M. I. Serov
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  3. L. O. Tulupova
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Additional information

Deceased.

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 6, pp. 806–813, June, 1997.

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Fushchich, V.I., Serov, M.I. & Tulupova, L.O. Conditional symmetry of the Navier-Stokes equations. Ukr Math J 49, 901–909 (1997). https://doi.org/10.1007/BF02513430

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  • DOI: https://doi.org/10.1007/BF02513430

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