This paper aims at reviewing nonlinear methods for model order reduction in structures with
geometric nonlinearity, with a special emphasis on the techniques based on invariant …

Turbulent flows are characterized by the non-linear cascades of energy and other inviscid
invariants across a huge range of scales, from where they are injected to where they are …

Wave Turbulence refers to the statistical theory of weakly nonlinear dispersive waves. There
is a wide and growing spectrum of physical applications, ranging from sea waves, to plasma …

The nonlinear propagation of coherent optical fields has been extensively explored in the
framework of nonlinear optics, while the linear propagation of incoherent fields has been …

In this article, we state and review the premises on which a successful asymptotic closure of
the moment equations of wave turbulence is based, describe how and why this closure …

Abstract Acoustic Black Hole effect (ABH) is a passive vibration damping technique without
added mass based on flexural waves properties in thin structures with variable thickness. A …

We report an exact unique constant-flux power-law analytical solution of the wave kinetic
equation for the turbulent energy spectrum, E (k)= C 1 ϵ acs/k, of acoustic waves in 2D with …

The nonlinear interaction of waves in a driven medium may lead to wave turbulence, a state
such that energy is transferred from large to small length scales. Here, wave turbulence is …

We present a review of the latest developments in one-dimensional (1D) optical wave
turbulence (OWT). Based on an original experimental setup that allows for the …

An thin elastic steel plate is excited with a vibrator and its local velocity displays a
turbulentlike Fourier spectrum. This system is believed to develop elastic wave turbulence …