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New exact solution of the Navier-Stokes equations for turbulence in a compressible medium

Fluid Dynamics 2019-03-05 v1

Abstract

A new exact solution of the Navier-Stokes equation is derived for the compressible flows which are far from equilibrium in the limit of extremely low shear viscosity and relatively large volume viscosity. The closed description of the evolution of statistical moments of velocity is obtained, thereby bypassing the closure problem in the theory of turbulence.

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@article{arxiv.1903.00662,
  title  = {New exact solution of the Navier-Stokes equations for turbulence in a compressible medium},
  author = {Sergey G. Chefranov and Artem S. Chefranov},
  journal= {arXiv preprint arXiv:1903.00662},
  year   = {2019}
}

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