We're sorry but this page doesn't work properly without JavaScript enabled. Please enable it to continue.
Feedback

Stable and unstable steady states for the HMF model

16
 Cite
 Share
 Related Material
 Download
 Purchase
No logo availableCentre International de Rencontres Mathématiques (CIRM)
 Mehats, Florian

Formal Metadata

Title
Stable and unstable steady states for the HMF model
Title of Series
Number of Parts
19
Author
Contributors
License
CC Attribution - NonCommercial - NoDerivatives 2.0 Generic:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
Identifiers
Publisher
Release Date
Language

Content Metadata

Subject Area
Genre
Abstract
The Hamiltonian Mean-Field (HMF) model is a 1D simplifiedversion of the gravitational Vlasov-Poisson system. I will present two recentworks in collaboration with Mohammed Lemou and Ana Maria Luz. In thefirst one, we proved the nonlinear stability of steady states for this model,using a technique of generalized Schwarz rearrangements. To be stable, thesteady state has to satisfy a criterion. If this criterion is not satisfied, someinstabilities can occur: this is the topic of the second work that I will present.