Title :

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

Author(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]

Scientific editor(s) :

Giacomo Albi
Sara Merino-Aceituno
Alessia Nota
Mattia Zanella

Book title :

Trails in Kinetic Theory

Publisher :

Springer

Publication date :

2021-02-15

ISBN :

978-3-030-67103-7

English keyword(s) :

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

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Audience :

Internationale

Popular science :

Non

ANR Project :

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

Comment :

36 pages, 5 figures

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL