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.
Bartuccelli, M.V., Gentile, G. (2022). On the crest factor and its relevance in detecting turbulent behaviour in solutions of partial differential equations. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 19(8), 8273-8287 [10.3934/mbe.2022385].
On the crest factor and its relevance in detecting turbulent behaviour in solutions of partial differential equations
Gentile, Guido
Writing – Original Draft Preparation
2022-01-01
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
