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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
Article
  • 18 Downloads

Abstract

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.

Keywords

Partial Differential Equation Additional Condition Symmetry Property Equivalence Transformation Arbitrary Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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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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