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Self-similarity in turbulence and its applications

Self-similarity in turbulence and its applications

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 …