Open AccessOn the crest factor and its relevance in detecting turbulent behaviour in solutions of partial differential equations
Author(s) -
Michele V. Bartuccelli,
Guido Gentile
Publication year - 2022
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2022385
Subject(s) - crest , turbulence , partial differential equation , crest factor , mathematics , mathematical analysis , compressibility , work (physics) , scale (ratio) , scale factor (cosmology) , physics , mechanics , thermodynamics , quantum mechanics , voltage , cosmology , metric expansion of space , dark energy
In this work we investigate the connection between two fundamental features of solutions of partial differential equations (PDEs), namely the crest factor and the length scale associated to each solution. We illustrate how the crest factor of solutions of some linear and non-linear PDEs, including the incompressible two-dimensional Navier-Stokes equations, has the capability for detecting turbulent and non-turbulent behaviour.