A group theoretical approach to hydrodynamics considers hydrodynamics to be the
differential geometry of diffeomorphism groups. The principle of least action implies that the …

The last decades witnessed a renewal of interest in the Burgers equation. Much activities
focused on extensions of the original one-dimensional pressureless model introduced in the …

Introduction; 1. Turbulence and dynamical systems; 2. Phenomenology of turbulence; 3.
Reduced models for hydrodynamic turbulence; 4. Turbulence and coupled map lattices; 5 …

Foreword 1. Elements on subordinators 1.1. Definitions and first properties 1.2. The Lévy-
Khintchine formula 1.3. The renewal measure 1.4. The range of a subordinator 2 …

Preface “... ad alcuno, dico, di quelli, che troppo laconicamente vorrebbero vedere, nei piu
angusti spazii che possibil fusse, ristretti i filosofici insegnamenti, sı che sempre si usasse …

We study systems of conservation laws arising in two models of adhesion particle dynamics.
The first is the system of free particles which stick under collision. The second is a system of …

Abstract Work initiated by Zeldovich (Astron. & Astrophys. 5, 84, 1970) and the Russian
school indicates that the formation of large-scale structures in the Universe can be analyzed …

The purpose of this paper is to analyze statistical properties of discontinuities of solutions of
the inviscid Burgers equation having a typical realization b (y) of the Brownian motion as an …

Abstract We study Burgers Equation perturbed by a white noise in space and time. We prove
the existence of solutions by showing that the Cole-Hopf transformation is meaningful also in …

A new tuning-free subgrid-scale model, termed locally averaged scale-dependent dynamic
(LASDD) model, is developed and implemented in large-eddy simulations (LES) of stable …