CONTINUITY OF THE FLOW OF THE BENJAMIN-BONA-MAHONY EQUATION ON PROBABILITY MEASURES

被引：2
|
作者：
de Suzzoni, Anne-Sophie [1 ]
机构：
[1] Univ Paris 13, Sorbonne Paris Cite, LAGA, CNRS,UMR 7539, F-93430 Villetaneuse, France
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2015年 / 35卷 / 07期
关键词：
Benjamin-Bona-Mahony equation; invariant measures; stability; Wasserstein metrics; global estimates; NONLINEAR SCHRODINGER-EQUATION; STATISTICAL-MECHANICS; INVARIANT-MEASURES; SYSTEMS; BBM;
D O I：
10.3934/dcds.2015.35.2905
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：2905 / 2920
页数：16
相关论文
共 50 条
  • [1] Regularity of attractors for the Benjamin-Bona-Mahony equation
    Wang, BX
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (37): : 7635 - 7645
  • [2] On the controllability of the linearized Benjamin-Bona-Mahony equation
    Micu, S
    FIFTH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND NUMERICAL ASPECTS OF WAVE PROPAGATION, 2000, : 1016 - 1019
  • [3] Attractors for the generalized Benjamin-Bona-Mahony equation
    Çelebi, AO
    Kalantarov, VK
    Polat, M
    JOURNAL OF DIFFERENTIAL EQUATIONS, 1999, 157 (02) : 439 - 451
  • [4] Strong attractors for the Benjamin-Bona-Mahony equation
    Wang, BX
    APPLIED MATHEMATICS LETTERS, 1997, 10 (02) : 23 - 28
  • [5] The Benjamin-Bona-Mahony equation with dissipative memory
    Dell'Oro, Filippo
    Mammeri, Youcef
    Pata, Vittorino
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2015, 22 (04): : 899 - 910
  • [6] On the controllability of the linearized Benjamin-Bona-Mahony equation
    Micu, S
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2001, 39 (06) : 1677 - 1696
  • [7] On the Benjamin-Bona-Mahony Equation with a Localized Damping
    Rosier, Lionel
    JOURNAL OF MATHEMATICAL STUDY, 2016, 49 (02): : 195 - 204
  • [8] Global Attractors for the Benjamin-Bona-Mahony Equation with Memory
    Dell'Oro, Filippo
    Goubet, Olivier
    Mammeri, Youcef
    Pata, Vittorino
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2020, 69 (03) : 749 - 783
  • [9] Exact Solutions of the Generalized Benjamin-Bona-Mahony Equation
    Liu, Xun
    Tian, Lixin
    Wu, Yuhai
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2010, 2010
  • [10] New exact solutions for a Benjamin-Bona-Mahony equation
    Bruzon, Maria S.
    Gandarias, Maria L.
    PROCEEDINGS OF THE 7TH WSEAS INTERNATIONAL CONFERENCE ON SYSTEM SCIENCE AND SIMULATION IN ENGINEERING (ICOSSSE '08): RECENT ADVANCES IN SYSTEMS SCIENCE AND SIMULATION IN ENGINEERING, 2008, : 189 - +
12345