Self-similarity in turbulence and its applications

  title={Self-similarity in turbulence and its applications},
  author={Koji Ohkitani},
  journal={Philosophical Transactions of the Royal Society A},
  • K. Ohkitani
  • Published 13 January 2022
  • Mathematics
  • Philosophical Transactions of the Royal Society A
First, we discuss the non-Gaussian type of self-similar solutions to the Navier–Stokes equations. We revisit a class of self-similar solutions which was studied in Canonne et al. (1996 Commun. Partial. Differ. Equ. 21, 179–193). In order to shed some light on it, we study self-similar solutions to the one-dimensional Burgers equation in detail, completing the most general form of similarity profiles that it can possibly possess. In particular, on top of the well-known source-type solution, we… 

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