Boltzmann-type equation in anelastic case: A convergence result

被引:0
|
作者
Grilli, L [1 ]
机构
[1] Univ Foggia, Dipartimento Sci Econ Matemat & Stat, I-71100 Foggia, Italy
关键词
Boltzmann equation; BBGKY; granular media; microscopical models;
D O I
10.1023/A:1025716119825
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this Letter, a convergence result for the BBGKY hierarchy to a Boltzmann-like equation, in the case of an Anelastic collision, is shown. Boltzmann-like equations are often used to model dissipative dynamical systems such as granular media. This convergence result aims to make a contribution towards a mathematical foundation to these applications.
引用
收藏
页码:119 / 127
页数:9
相关论文
共 50 条
  • [31] Conservative and non-conservative Boltzmann-type models of semiconductor theory
    Arlotti, L.
    Banasiak, J.
    Ciake, F. L. Ciake
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2006, 16 (09): : 1441 - 1468
  • [32] On the Error of Stochastic Solutions of Boltzmann-Type Equations: Sharp Upper Bounds
    Nekrutkin, V. V.
    Sovetkin, E. A.
    VESTNIK ST PETERSBURG UNIVERSITY-MATHEMATICS, 2014, 47 (04) : 159 - 166
  • [33] Breakdown of Boltzmann-type models for the alignment of self-propelled rods
    Murphy, Patrick
    Perepelitsa, Misha
    Timofeyev, Ilya
    Lieber-Kotz, Matan
    Islas, Brandon
    Igoshin, Oleg A.
    MATHEMATICAL BIOSCIENCES, 2024, 376
  • [34] BOLTZMANN-TYPE EQUATIONS FOR MULTI-AGENT SYSTEMS WITH LABEL SWITCHING
    Loy, Nadia
    Tosin, Andrea
    KINETIC AND RELATED MODELS, 2021, 14 (05) : 867 - 894
  • [35] PROPOSAL OF A RISK MODEL FOR VEHICULAR TRAFFIC: A BOLTZMANN-TYPE KINETIC APPROACH
    Freguglia, Paolo
    Tosin, Andrea
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2017, 15 (01) : 213 - 236
  • [36] On the Convergence Result of the Fractional Pseudoparabolic Equation
    Van Tien, Nguyen
    Saadati, Reza
    JOURNAL OF MATHEMATICS, 2023, 2023
  • [37] Generalized collision mechanism for stochastic particle schemes approximating Boltzmann-type equations
    Rjasanow, S.
    Wagner, W.
    Computers and Mathematics with Applications, 1998, 35 (1-2): : 165 - 178
  • [38] ON THE CONVERGENCE OF SOLUTIONS OF THE ENSKOG EQUATION TO SOLUTIONS OF THE BOLTZMANN-EQUATION
    ARKERYD, L
    CERCIGNANI, C
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1989, 14 (8-9) : 1071 - 1089
  • [39] Pointwise convergence to Knudsen layers of the Boltzmann equation
    Deng, Shijin
    Wang, Weike
    Yu, Shih-Hsien
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 281 (02) : 287 - 347
  • [40] CONVERGENCE OF PARTICLE SCHEMES FOR THE BOLTZMANN-EQUATION
    PULVIRENTI, M
    WAGNER, W
    ROSSI, MBZ
    EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 1994, 13 (03) : 339 - 351