• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail

Long-time dynamics for a simple aggregation equation on the sphere

Frouvelle, Amic; Liu, Jian-Guo (2019), Long-time dynamics for a simple aggregation equation on the sphere, in Giacomin, G., Olla, S., Saada, E., Spohn, H., Stoltz, G. (eds), Stochastic Dynamics Out of Equilibrium. IHPStochDyn 2017. Springer Proceedings in Mathematics & Statistics, vol 282, Springer : Berlin Heidelberg, p. 457-479. 10.1007/978-3-030-15096-9_16

View/Open
sphereaggregation-clean.pdf (383.1Kb)
Type
Chapitre d'ouvrage
Date
2019
Book title
Stochastic Dynamics Out of Equilibrium. IHPStochDyn 2017. Springer Proceedings in Mathematics & Statistics, vol 282
Book author
Giacomin, G., Olla, S., Saada, E., Spohn, H., Stoltz, G. (eds)
Publisher
Springer
Published in
Berlin Heidelberg
ISBN
978-3-030-15095-2
Pages
457-479
Publication identifier
10.1007/978-3-030-15096-9_16
Metadata
Show full item record
Author(s)
Frouvelle, Amic cc
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Liu, Jian-Guo
Duke Physics
Abstract (EN)
We give a complete study of the asymptotic behavior of a simple model of alignment of unit vectors, both at the level of particles , which corresponds to a system of coupled differential equations, and at the continuum level, under the form of an aggregation equation on the sphere. We prove unconditional convergence towards an aligned asymptotic state. In the cases of the differential system and of symmetric initial data for the partial differential equation, we provide precise rates of convergence.
Subjects / Keywords
alignment; unit vectors; aggregation equation

Related items

Showing items related by title and author.

  • Thumbnail
    A note on phase transitions for the Smoluchowski equation with dipolar potential 
    Liu, Jian-Guo; Frouvelle, Amic; Degond, Pierre (2012) Communication / Conférence
  • Thumbnail
    Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics 
    Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo (2015) Article accepté pour publication ou publié
  • Thumbnail
    From kinetic to fluid models of liquid crystals by the moment method 
    Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo (2022) Article accepté pour publication ou publié
  • Thumbnail
    From kinetic to fluid models of liquid crystals by the moment method 
    Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo; Abbad, Narima (2021) Article accepté pour publication ou publié
  • Thumbnail
    Macroscopic models of collective motion and self-organization 
    Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo; Motsch, Sébastien; Navoret, Laurent (2013) Article accepté pour publication ou publié
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo