Contractivity for Smoluchowski's coagulation equation with solvable kernels

被引：0
|
作者：
Canizo, Jose A. [1 ]
Lods, Bertrand [2 ,3 ]
Throm, Sebastian [1 ]
机构：
[1] Univ Granada, Dept Matemat Aplicada, Ave Fuentenueva S-N, Granada 18071, Spain
[2] Univ Torino, Dept ESOMAS, Corso Unione Sovietica 218 Bis, I-10134 Turin, Italy
[3] Coll Carlo Alberto, Corso Unione Sovietica 218 Bis, I-10134 Turin, Italy
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2021年 / 53卷 / 01期
关键词：
35Q70; 35Q82; 35R09; 82C05 (primary); SELF-SIMILARITY; CONVERGENCE; GELATION;
D O I：
10.1112/blms.12417
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the Smoluchowski coagulation equation with the solvable kernelsK(x,y)equal to 2,x+yorxyis contractive in suitable Laplace norms. In particular, this proves exponential convergence to a self-similar profile in these norms. These results are parallel to similar properties of Maxwell models for Boltzmann-type equations, and extend already existing results on exponential convergence to self-similarity for Smoluchowski's coagulation equation.
引用
收藏
页码：248 / 258
页数：11
相关论文
共 50 条
  • [21] COUPLING ALGORITHMS FOR CALCULATING SENSITIVITIES OF SMOLUCHOWSKI'S COAGULATION EQUATION
    Man, Peter L. W.
    Norris, James R.
    Bailleul, Ismael F.
    Kraft, Markus
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2010, 32 (02): : 635 - 655
  • [22] OSCILLATORY DYNAMICS IN SMOLUCHOWSKI'S COAGULATION EQUATION WITH DIAGONAL KERNEL
    Laurencot, Philippe
    Niethammer, Barbara
    Velazquez, Juan J. L.
    KINETIC AND RELATED MODELS, 2018, 11 (04) : 933 - 952
  • [23] Coagulation, diffusion and the continuous Smoluchowski equation
    Yaghouti, Mohammad Reza
    Rezakhanlou, Fraydoun
    Hammond, Alan
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2009, 119 (09) : 3042 - 3080
  • [24] POSTGELATION SOLUTIONS TO SMOLUCHOWSKI COAGULATION EQUATION
    BAK, TA
    HEILMANN, OJ
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (12): : 4203 - 4209
  • [25] SMOLUCHOWSKI COAGULATION EQUATION WITH VELOCITY DEPENDENCE
    Flandoli, Franco
    Huang, Ruojun
    Papini, Andrea
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2024, 56 (04) : 5634 - 5677
  • [26] SCALING SOLUTIONS OF SMOLUCHOWSKI COAGULATION EQUATION
    VANDONGEN, PGJ
    ERNST, MH
    JOURNAL OF STATISTICAL PHYSICS, 1988, 50 (1-2) : 295 - 329
  • [27] Anomalous dimensions of the Smoluchowski coagulation equation
    Eggers, Jens
    Fontelos, Marco
    PHYSICAL REVIEW E, 2023, 108 (06)
  • [28] Numerical simulation of the Smoluchowski coagulation equation
    Filbet, F
    Laurençot, P
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2004, 25 (06): : 2004 - 2028
  • [29] Uniqueness of Mass-Conserving Self-similar Solutions to Smoluchowski’s Coagulation Equation with Inverse Power Law Kernels
    Philippe Laurençot
    Journal of Statistical Physics, 2018, 171 : 484 - 492
  • [30] Uniqueness of Mass-Conserving Self-similar Solutions to Smoluchowski's Coagulation Equation with Inverse Power Law Kernels
    Laurencot, Philippe
    JOURNAL OF STATISTICAL PHYSICS, 2018, 171 (03) : 484 - 492
12345