Continuity of the flow of the Benjamin-Bona-Mahony equation on probability measures

Anne Sophie De Suzzoni

doi:10.3934/dcds.2015.35.2905

Continuity of the flow of the Benjamin-Bona-Mahony equation on probability measures

Anne Sophie De Suzzoni

University Paris 13

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

2 Citations (Scopus)

Résumé

We use Wasserstein metrics adapted to study the action of the flow of the BBM equation on probability measures. We prove the continuity of this flow and the stability of invariant measures for finite times.

langue originale	Anglais
Pages (de - à)	2905-2920
Nombre de pages	16
journal	Discrete and Continuous Dynamical Systems
Volume	35
Numéro de publication	7
Les DOIs	https://doi.org/10.3934/dcds.2015.35.2905
état	Publié - 1 juil. 2015
Modification externe	Oui

Accès au document

10.3934/dcds.2015.35.2905

Contient cette citation

@article{c8f536e299964543a71b93c265ed7964,

title = "Continuity of the flow of the Benjamin-Bona-Mahony equation on probability measures",

abstract = "We use Wasserstein metrics adapted to study the action of the flow of the BBM equation on probability measures. We prove the continuity of this flow and the stability of invariant measures for finite times.",

keywords = "Benjamin-Bona-Mahony equation, Global estimates, Invariant measures, Stability, Wasserstein metrics",

author = "\{De Suzzoni\}, \{Anne Sophie\}",

year = "2015",

month = jul,

day = "1",

doi = "10.3934/dcds.2015.35.2905",

language = "English",

volume = "35",

pages = "2905--2920",

journal = "Discrete and Continuous Dynamical Systems",

issn = "1078-0947",

publisher = "American Institute of Mathematical Sciences",

number = "7",

}

TY - JOUR

T1 - Continuity of the flow of the Benjamin-Bona-Mahony equation on probability measures

AU - De Suzzoni, Anne Sophie

PY - 2015/7/1

Y1 - 2015/7/1

N2 - We use Wasserstein metrics adapted to study the action of the flow of the BBM equation on probability measures. We prove the continuity of this flow and the stability of invariant measures for finite times.

AB - We use Wasserstein metrics adapted to study the action of the flow of the BBM equation on probability measures. We prove the continuity of this flow and the stability of invariant measures for finite times.

KW - Benjamin-Bona-Mahony equation

KW - Global estimates

KW - Invariant measures

KW - Stability

KW - Wasserstein metrics

U2 - 10.3934/dcds.2015.35.2905

DO - 10.3934/dcds.2015.35.2905

M3 - Article

AN - SCOPUS:84921838541

SN - 1078-0947

VL - 35

SP - 2905

EP - 2920

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 7

ER -

Continuity of the flow of the Benjamin-Bona-Mahony equation on probability measures

Résumé

Accès au document

Empreinte digitale

Contient cette citation