Entrainment: Local and non-local turbulence models with double diffusion

Some Non-Local Population Models with Non-Linear Diffusion

In this paper we present some theoretical results concerning to a non-local elliptic equation with non-linear diffusion arising from population dynamics.

Non-local Diffusion

Some non-local problems with nonlinear diffusion

In this paper we study different problems with nonlinear diffusion and non-local terms, some of them arising in population dynamics. We are able to give a complete description of the set of positive solutions and their stability. For that we employ a fixed point argument for the existence and uniqueness or multiplicity results and the study of singular eigenvalue problems for stability.

On the non-local geometry of turbulence

A multi-scale methodology for the study of the non-local geometry of eddy structures in turbulence is developed. Starting from a given three-dimensional field, this consists of three main steps: extraction, characterization and classification of structures. The extraction step is done in two stages. First, a multi-scale decomposition based on the curvelet transform is applied to the full three-...

Non-stationary spectra of local wave turbulence

The evolution of the Kolmogorov–Zakharov (K–Z) spectrum of weak turbulence is studied in the limit of strongly local interactions where the usual kinetic equation, describing the time evolution of the spectral wave-action density, can be approximated by a PDE. If the wave action is initially compactly supported in frequency space, it is then redistributed by resonant interactions producing the ...