Asymptotic behaviour of low density solutions to the generalized Becker-Doring equations

被引：11
|
作者：
Da Costa, Fernando Pestana [1 ]
机构：
[1] Inst Super Tecn, Dept Matemat, P-1096 Lisbon, Portugal
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 1998年 / 5卷 / 01期
关键词：
Asymptotic Behaviour; Initial Density; Unique Equilibrium; Density Solution;
D O I：
10.1007/s000300050031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The asymptotic behaviour of solutions to the generalized Becker-Doring equations is studied. It is proved that solutions converge strongly to a unique equilibrium if the initial density is sufficiently small.
引用
下载
收藏
页码：23 / 37
页数：15
相关论文
共 50 条
  • [21] General Becker-Doring equations: effect of dimer interactions
    Bolton, CD
    Wattis, JAD
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (14): : 3183 - 3202
  • [22] The Becker-Doring equations with monomer input, competition and inhibition
    Bolton, CD
    Wattis, JAD
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (06): : 1971 - 1986
  • [23] Generalized Becker-Doring equations modeling the time evolution of a process of preferential attachment with fitness
    Guias, Flavius
    MONTE CARLO METHODS AND APPLICATIONS, 2008, 14 (02): : 151 - 170
  • [24] Existence of metastable solutions for a thermodynamically consistent Becker-Doring model
    Ssemaganda, Vincent
    Warnecke, Gerald
    JOURNAL OF APPLIED ANALYSIS, 2013, 19 (01) : 91 - 124
  • [25] From the Becker-Doring to the Lifshitz-Slyozov-Wagner equations
    Laurençot, P
    Mischler, S
    JOURNAL OF STATISTICAL PHYSICS, 2002, 106 (5-6) : 957 - 991
  • [26] The derivation of integration-fragmentation equations in the Becker-Doring case
    Adzhiev, S.
    Melikhov, I.
    Vedenyapin, V.
    VII INTERNATIONAL CONFERENCE PROBLEMS OF MATHEMATICAL PHYSICS AND MATHEMATICAL MODELLING, 2019, 1205
  • [27] The Becker-Doring equations and the Lifshitz-Slyozov theory of coarsening
    Velazquez, JJL
    JOURNAL OF STATISTICAL PHYSICS, 1998, 92 (1-2) : 195 - 236
  • [28] Analysis of a generalized Becker-Doring model of self-reproducing micelles
    Coveney, PV
    Wattis, JAD
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1996, 452 (1952): : 2079 - 2102
  • [29] CLUSTER KINETICS IN THE LATTICE GAS-MODEL - THE BECKER-DORING TYPE OF EQUATIONS
    TORAL, R
    MARRO, J
    JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1987, 20 (17): : 2491 - 2500
  • [30] The Becker-Doring equations with exponentially size-dependent rate coefficients
    Wattis, JAD
    Bolton, CD
    Coveney, PV
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (08): : 2895 - 2912
12345