Sticky particle model and propagation of chaos

被引:4
|
作者
Dermoune, A [1 ]
机构
[1] USTL, UFR Math, Lab Probabil & Stat, F-59655 Villeneuve Dascq, France
关键词
sticky particle; propagation of chaos;
D O I
10.1016/S0362-546X(99)00405-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The system of conservation law: ∂t(Pt) + ∂x(uPt) = 0, and ∂t(uPt) + ∂x(u2Pt) = αg(t,x)Pt was studied, with initial value P0, u0, and where g(t,x) = Pt((x, + ∞)) - Pt(( - ∞,x)). Some solutions were proved using existing theorems.
引用
收藏
页码:529 / 541
页数:13
相关论文
共 50 条
  • [1] HOMOGENIZATION AND PROPAGATION OF CHAOS TO A NONLINEAR DIFFUSION WITH STICKY REFLECTION
    GRAHAM, C
    PROBABILITY THEORY AND RELATED FIELDS, 1995, 101 (03) : 291 - 302
  • [2] Probabilistic interpretation of sticky particle model
    Dermoune, A
    ANNALS OF PROBABILITY, 1999, 27 (03): : 1357 - 1367
  • [3] PROPAGATION OF CHAOS IN A COAGULATION MODEL
    Escobedo, M.
    Pezzotti, F.
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2013, 23 (06): : 1143 - 1176
  • [4] QUANTITATIVE PROPAGATION OF CHAOS FOR GENERALIZED KAC PARTICLE SYSTEMS
    Cortez, Roberto
    Fontbona, Joaquin
    ANNALS OF APPLIED PROBABILITY, 2016, 26 (02): : 892 - 916
  • [5] Propagation of chaos for a balls into bins model
    Cancrini, Nicoletta
    Posta, Gustavo
    ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2019, 24
  • [6] Propagation of Chaos for a Thermostated Kinetic Model
    Bonetto, F.
    Carlen, E. A.
    Esposito, R.
    Lebowitz, J. L.
    Marra, R.
    JOURNAL OF STATISTICAL PHYSICS, 2014, 154 (1-2) : 265 - 285
  • [7] Propagation of Chaos for a Thermostated Kinetic Model
    F. Bonetto
    E. A. Carlen
    R. Esposito
    J. L. Lebowitz
    R. Marra
    Journal of Statistical Physics, 2014, 154 : 265 - 285
  • [8] Propagation of chaos for large Brownian particle system with Coulomb interaction
    Liu, Jian-Guo
    Yang, Rong
    RESEARCH IN THE MATHEMATICAL SCIENCES, 2016, 3
  • [10] PARTICLE APPROXIMATION OF VLASOV EQUATIONS WITH SINGULAR FORCES: PROPAGATION OF CHAOS
    Hauray, Maxime
    Jabin, Pierre-Emmanuel
    ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2015, 48 (04): : 891 - 940