5 citations · 9 across the 7 of their papers we have counts for
7 papers
Turbulent energy cascade through equivalence of Euler and Lagrange motion descriptions and bifurcation rates
Nicola de Divitiis
This work analyses the homogeneous isotropic turbulence by means of the equivalence between Euler and Lagrange representations of motion, adopting the bifurcation rates associated…
von Kármán--Howarth and Corrsin equations closures through Liouville theorem
Nicola de Divitiis
In this communication, the closure formulas of von Kármán--Howarth and Corrsin equations are obtained through the Liouville theorem and the hypothesis of homogeneous isotropic inco…
Statistical Lyapunov theory based on bifurcation analysis of energy cascade in isotropic homogeneous turbulence: a physical -- mathematical review
Nicola de Divitiis
This work presents a review of previous articles dealing with an original turbulence theory proposed by the author, and provides new theoretical insights into some related issues.…
Finite scale local Lyapunov exponents distribution in fully developed homogeneous isotropic turbulence
Nicola de Divitiis
The present work analyzes the distribution function of the finite scale local Lyapunov exponent of a pair fluid particles trajectories in fully developed incompressible homogeneous…
Lyapunov Analysis of Homogeneous Isotropic Turbulence
Nicola de Divitiis
The present work studies the isotropic and homogeneous turbulence for incompressible fluids through a specific Lyapunov analysis, assuming that the turbulence is due to the bifurca…
Self-Similar Solutions in the Homogeneous Isotropic Turbulence
Nicola de Divitiis
We calculate the self-similar longitudinal velocity correlation function, the energy spectrum and the corresponding other properties using a theory on the isotropic homogeneous tur…