Titre :

Recent development in kinetic theory of granular materials: analysis and numerical methods

Auteur(s) :

Carrillo, José [Auteur]
Department of Mathematics [Imperial College London]
Hu, Jingwei [Auteur]
Department of mathematics Purdue University
Ma, Zheng [Auteur]
Department of mathematics Purdue University
Rey, Thomas [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]

Éditeur(s) ou directeur(s) scientifique(s) :

Giacomo Albi
Sara Merino-Aceituno
Alessia Nota
Mattia Zanella

Titre de l’ouvrage :

Trails in Kinetic Theory

Éditeur :

Springer

Date de publication :

2021-02-15

ISBN :

978-3-030-67103-7

Mot(s)-clé(s) en anglais :

granular flows
GPU
Granular gases equation
inelastic Boltzmann equation
fast spectral method
asymptotic behavior
review
hydrodynamic equations

Discipline(s) HAL :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Mathématiques [math]

Résumé en anglais : [en]

Over the past decades, kinetic description of granular materials has received a lot of attention in mathematical community and applied fields such as physics and engineering. This article aims to review recent mathematical ...
Lire la suite >Over the past decades, kinetic description of granular materials has received a lot of attention in mathematical community and applied fields such as physics and engineering. This article aims to review recent mathematical results in kinetic granular materials, especially for those which arose since the last review by Villani on the same subject. We will discuss both theoretical and numerical developments. We will finally showcase some important open problems and conjectures by means of numerical experiments based on spectral methods.Lire moins >

Langue :

Anglais

Audience :

Internationale

Vulgarisation :

Non

Projet ANR :

Modèles multi-échelles et simulation numérique hybride de semi-conducteurs
Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Commentaire :

36 pages, 5 figures

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL