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- Thomas Michelitsch, Genevieve Maugin, Franck C. G. A. Nicolleau, A. Nowakowski, Shahram Derogar
- Physical review. E, Statistical, nonlinear, and…
- 2009

We construct self-similar functions and linear operators to deduce a self-similar variant of the Laplacian operator and of the D'Alembertian wave operator. The exigence of self-similarity as a… (More)

- Thomas Michelitsch, Gérard A. Maugin, +8 authors Franck C. G. A. Nicolleau
- 2017

We analyze the “fractional continuum limit” and its generalization to n dimensions of a self-similar discrete spring model which we introduced recently [21]. Application of Hamilton’s (variational)… (More)

- Thomas Michelitsch, Bernard Collet, +4 authors Franck C. G. A. Nicolleau
- 2017

The 1D discrete fractional Laplacian operator on a cyclically closed (periodic) linear chain with finite number N of identical particles is introduced. We suggest a ”fractional elastic harmonic… (More)

- Franck C. G. A. Nicolleau, G. Yu
- Physical review. E, Statistical, nonlinear, and…
- 2007

The properties of one-particle and particle-pair diffusion in rotating and stratified turbulence are studied by applying the rapid distortion theory to a kinematic simulation of the Boussinesq… (More)

Résumé Cette communication a pour but de proposer une généralisation de la notion de dérivée traditionnelle afin d’inclure les dérivées fractionnaires comme celles de Riemann-Liouville,… (More)

- Franck C. G. A. Nicolleau, A. Nowakowski
- Physical review. E, Statistical, nonlinear, and…
- 2011

In this paper we investigate kinematic simulation (KS) consistency with the theory of Richardson [Proc. Roy. Soc. A 110, 24 (1926)] for two-particle diffusivity. In particular we revisit the sweeping… (More)

- A. Abou El - Azm, A. K. Chong, Franck C. G. A. Nicolleau, Stephanie Beck
- 2012

The fractal-shaped orifices are assumed to have a significant effect on the pressure drop downstream pipe flow due to their edge self-similarity shape which enhances the mixing properties. Here, we… (More)

- S. M. Muztaba, Franck C. G. A. Nicolleau, M. Borkowski

1. INTRODUCTION Study of fractal property can be traced back to as far as 650 AD in the page design layout of the Book of Durrow, Ireland. Yet the term fractal was first coined by the famous Polish… (More)

- Thomas Michelitsch, Bernard Collet, +4 authors A. Nowakowski
- 2017

The aim of this paper is to deduce a discrete version of the fractional Laplacian in matrix form defined on the 1D periodic (cyclically closed) linear chain of finite length. We obtain explicit… (More)

- M. Farhan, Franck C. G. A. Nicolleau, A. Nowakowski
- Physical review. E, Statistical, nonlinear, and…
- 2015

In this paper, we study the clustering of inertial particles using a periodic kinematic simulation. The systematic Lagrangian tracking of particles makes it possible to identify the particles'… (More)