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On the navier-stokes equation with the additional conditionu 11 =u 3=0

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Abstract

We study the Navier-Stokes equation with the additional conditionu 11 =u 3=0. In certain cases, solutions are represented in a closed form. In other cases, the investigated system reduces to simpler systems of partial differential equations. We study the symmetry properties of these systems and construct classes of their particular solutions.

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Authors and Affiliations

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

    R. O. Popovich

  2. Kiev University, Kiev

    V. O. Popovich

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  1. R. O. Popovich
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  2. V. O. Popovich
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Popovich, R.O., Popovich, V.O. On the navier-stokes equation with the additional conditionu 11 =u 3=0. Ukr Math J 48, 1546–1560 (1996). https://doi.org/10.1007/BF02377823

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  • DOI: https://doi.org/10.1007/BF02377823

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