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Reynolds Averaged Solutions of the Navier-Stokes Equation

Mathematical Physics 2024-01-30 v2 math.MP Fluid Dynamics

Abstract

The mean of Young measure solutions for the Navier-Stokes equations with general initial conditions are PDE solutions of the Navier-Stokes equation of the class considered by Leray and Hopf.

Keywords

Cite

@article{arxiv.2309.02381,
  title  = {Reynolds Averaged Solutions of the Navier-Stokes Equation},
  author = {James Glimm and Min Chul Lee and Abdul Hasib Rahimyar},
  journal= {arXiv preprint arXiv:2309.02381},
  year   = {2024}
}

Comments

A critical error was found in one of the proofs