Paper of Michele Bartuccelli in honour of Stephen Gourley published in MBE

The paper “On the crest factor and its relevance in detecting turbulent behaviour in solutions of partial differential equations“, co-authored by Michele Bartuccelli and Guido Gentile (University of Rome III), has been published in a special issue, in honour of Stephen Gourley, of Mathematical Biosciences and Engineering (MBE). A link to the published paper is (link here). The paper investigates 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. The paper illustrates 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 the nature of turbulent behaviour. The screenshot below shows the main Theorem of the paper.