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A theorem on stability of a planar Couette flow

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Literature cited

  1. W. Wasow, “On small disturbances of plane Couette flow,” J. Res. Nat. Bur. Stand.,51, No. 4, 195–202 (1953).

    Google Scholar 

  2. V. A. Romanov, “Stability of planar-parallel Couette flow,” Funkts. Analiz Prilozhen.,7, No. 2, 63–73 (1973).

    Google Scholar 

  3. M. A. Naimark, Linear Differential Operators [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  4. D. Joseph, Stability of Motions of a Fluid [Russian translation], Mir, Moscow (1981).

    Google Scholar 

  5. M. Reid and B. Simon, Methods of Contemporary Mathematical Physics. 4. Analysis of Operators [Russian translation], Mir, Moscow (1982).

    Google Scholar 

  6. V. M. Solopenko, Approximate Models of the Dynamics of a Viscous Fluid. Proof and Methods of Calculation [in Russian], Vishcha Shkola, Kiev (1980).

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  7. F. Ol'er, Introduction to Asymptotic Methods and Special Functions [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  8. E. Jahncke, F. Emde, and F. Lesh, Special Functions [Russian translation], Nauka, Moscow (1968).

    Google Scholar 

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Authors and Affiliations

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

    V. M. Solopenko

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  1. V. M. Solopenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 11, pp. 1541–1548, November, 1989.

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Solopenko, V.M. A theorem on stability of a planar Couette flow. Ukr Math J 41, 1328–1335 (1989). https://doi.org/10.1007/BF01056503

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  • DOI: https://doi.org/10.1007/BF01056503

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