Uniqueness result for the 3-D Navier-Stokes-Boussinesq Equations with Horizontal Dissipation

Autor: Dreyfuss, Pierre, Houamed, Haroune

In this paper, for the 3-D Navier-Stokes-Boussinesq system with horizontal dissipation, where there is no smoothing effect on the vertical derivatives, we prove a uniqueness result of solutions $ (u,\rho)\in L^{\infty}_T\big( H^{0,s}\times H^{0,1-s}\

Externí odkaz: http://arxiv.org/abs/1904.00437

Analysis of a turbulence model related to that of k-epsilon for stationary and compressible flows

Autor: Dreyfuss, Pierre

We shall study a turbulence model arising in compressible fluid mechanics. The model called $\theta - \phi$ we study is closely related to the k-epsilon model. We shall establish existence, positivity and regularity results in a very general framewor

Externí odkaz: http://arxiv.org/abs/1009.4649

Results for a turbulent system with unbounded viscosities: weak formulations, existence of solutions, boundedness, smoothness'

Autor: Dreyfuss, Pierre

Publikováno v: Nonlinear Analysis: Theory, Methods, and Applications (2007) online publication: 10 January 2007

We consider a circulation system arising in turbulence modelling in fluid dynamics with unbounded eddy viscosities. Various notions of weak solutions are considered and compared. We establish existence and regularity results. In particular we study t

Externí odkaz: http://arxiv.org/abs/0704.2775

Probabilités et Statistiques Appliquées: Cours, exercices et travaux pratiques avec tableur, corrigés détaillés

Autor: Dreyfuss, Pierre, Stolfi-Donati, Noëlle

Publikováno v: Ellipses, 2015, 9782340003620

National audience; Les probabilités et la statistique sont deux matières de grande actualité dont les applications sont multiples, en particulier dans les domaines du secteur tertiaire (économie, finance, commerce…) et du secteur secondaire (in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::3b25c56bd28ad699a3d7c4fe18719505
https://hal.archives-ouvertes.fr/hal-01297635

A construction of beam propagation methods for optical waveguides

Autor: Xavier ANTOINE, Dreyfuss, Pierre, Ramdani, Karim

Publikováno v: Communications in Computational Physics
Communications in Computational Physics, Global Science Press, 2009, 6 (3), pp.565-576
Scopus-Elsevier
Communications in Computational Physics, Global Science Press, 2008, 6 (3), pp.565-576
Communications in Computational Physics, 2009, 6 (3), pp.565-576
ResearcherID

International audience; This paper presents a systematic method to derive Beam Propagation Models for optical waveguides. The technique is based on the use of the symbolic calculus rules for pseudodifferential operators. The cases of straight and ben

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::e2b4b22cfa7d84c3f6f73d8c9e1c1541
https://hal.archives-ouvertes.fr/hal-00429158/file/CiCP-08-146-Revised.pdf