Ukrainian Mathematical Journal

, Volume 48, Issue 10, pp 1546–1560 | Cite as

On the navier-stokes equation with the additional conditionu 1 1 =u 3=0

  • R. O. Popovich
  • V. O. Popovich


We study the Navier-Stokes equation with the additional conditionu 1 1 =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.


Partial Differential Equation Additional Condition Symmetry Property Equivalence Transformation Arbitrary Solution 
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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • R. O. Popovich
    • 1
  • V. O. Popovich
    • 2
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev
  2. 2.Kiev UniversityKiev

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