Singularity turbulence

Christophe Josserand
LadHyX, CNRS & Ecole Polytechnique, UMR 7646, IP Paris, 91128 Palaiseau, France
We will discuss the singularity induced turbulence obtained using a simple model based on the focusing non-linear Schrödinger equation. We observe a transition from a smooth dynamics towards a strong turbulence regime as the control parameters increase. This strong turbulence regime consists of the midst of the singularities of the NLS equations healed by the viscosity. Kolmogorov-like spectra are observed and will be discussed in the context of the cascade phenomenology. Co-authors: Yves Pomeau and Sergio Rica