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New classes of exact solutions of three-dimensional Navier-Stokes equations

Fluid Dynamics 2015-05-14 v1 Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Abstract

New classes of exact solutions of the three-dimensional unsteady Navier-Stokes equations containing arbitrary functions and parameters are described. Various periodic and other solutions, which are expressed through elementary functions are obtained. The general physical interpretation and classification of solutions is given.

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Cite

@article{arxiv.0909.0446,
  title  = {New classes of exact solutions of three-dimensional Navier-Stokes equations},
  author = {S. N. Aristov and A. D. Polyanin},
  journal= {arXiv preprint arXiv:0909.0446},
  year   = {2015}
}

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11 pages