Etude mathématique de la dérivation de l'équation de Boltzmann dans un domaine à bord

Autor: Dolmaire, Théophile

Publikováno v: General Mathematics [math.GM]. Université de Paris, 2019. English. ⟨NNT : 2019UNIP7108⟩

The Boltzmann equation is a model introduced in order to describe diluted gases. The solutions of this equation present an interesting behaviour: they converge irreversibly towards a determined equilibrium. However, the Boltzmann equation is formally

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______2592::7b26267318cf1896e9c1a8e72e1d6d3e
https://tel.archives-ouvertes.fr/tel-03046407/document

Grains de foules

Autor: Maury, Bertrand

Nous nous proposons de montrer comment l'élaboration de modèles de mouvements de foules (destinés à décrire par exemple l'évacuation d'un bâtiment) conduit à des questions délicates sur les liens entre la description microscopique (et native

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______166::ca321d58dd1252108702ff04755738f9
https://hal.science/hal-01505029

Suivre l'évolution des états vitreux sous perturbations extérieures : compression et cisaillement

Autor: Rainone, Corrado

Publikováno v: Physics [physics]. Ecole normale supérieure-ENS PARIS; Università degli studi La Sapienza (Rome), 2015. English. ⟨NNT : 2015ENSU0051⟩

We consider the adiabatic evolution of glassy states under external perturbations. Although the formalism we use is very general, we focus here on infinite-dimensional hard spheres where an exact analysis is possible. We consider perturbations of the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______2417::ff748ee67b8a0c649eef4189fbf0e651
https://theses.hal.science/tel-01999724

Infinite dimensional diffusion processes with singular interaction

Autor: Myriam Fradon, Sylvie Rœlly

Publikováno v: Bulletin des Sciences Mathématiques. 124(4):287-318

An infinite system of hard spheres in R d undergoing Brownian motions and submitted to a smooth pair potential is studied. It is modelized by an infinite-dimensional Stochastic Differential Equation with a local time term. We prove existence and uniq

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::26a35d0117fb9acb88c4870fe594301f

Elastic behavior and homogeneous melting of a hard-sphere crystal

Autor: Lemarchand, Claire

Publikováno v: Matière Molle [cond-mat.soft]. Université Paris-Diderot-Paris VII, 2012. Français

In this theoretical work, the elastic and dynamical properties of a solid are studied with the aim to draw the links between a perfect crystal and a glassy state. Recently, experimental groups observed a slice in a colloidal glass under a confocal mi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::d3f2b3656a48c9b0e4928bb83a479109
https://pastel.archives-ouvertes.fr/pastel-00741157