Periodic homogenization of nonlinear non-monotone parabolic operators with three time scales

被引：29
|
作者：
Woukeng, Jean Louis [1 ]
机构：
[1] Univ Dschang, Dept Math & Comp Sci, Dschang, Cameroon
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2010年 / 189卷 / 03期
关键词：
Homogenization; Non-monotone; Degenerated; Parabolic; Multiscale convergence; CONVERGENCE; EQUATIONS;
D O I：
10.1007/s10231-009-0112-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Multiscale homogenization of nonlinear non-monotone degenerated parabolic operators is investigated. Under a periodicity assumption on the coefficients of the operators under consideration, we obtain by means of multiscale convergence method, an accurate homogenization result. It is also shown that in spite of the presence of several time scales the global homogenized problem is not a reiterated one.
引用
收藏
页码：357 / 379
页数：23
相关论文
共 50 条
  • [41] Bipotentials for Non-monotone Multivalued Operators: Fundamental Results and Applications
    Marius Buliga
    Géry de Saxcé
    Claude Vallée
    [J]. Acta Applicandae Mathematicae, 2010, 110 : 955 - 972
  • [42] Non-monotone inexact restoration method for nonlinear programming
    Juliano B. Francisco
    Douglas S. Gonçalves
    Fermín S. V. Bazán
    Lila L. T. Paredes
    [J]. Computational Optimization and Applications, 2020, 76 : 867 - 888
  • [43] Non-monotone inexact restoration method for nonlinear programming
    Francisco, Juliano B.
    Goncalves, Douglas S.
    Bazan, Fermin S. V.
    Paredes, Lila L. T.
    [J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2020, 76 (03) : 867 - 888
  • [44] Local Monotone Operator Learning Using Non-Monotone Operators: MnM-MOL
    John, Maneesh
    Chand, Jyothi Rikhab
    Jacob, Mathews
    [J]. IEEE TRANSACTIONS ON COMPUTATIONAL IMAGING, 2024, 10 : 742 - 751
  • [45] Reiterated homogenization of nonlinear monotone operators in a general deterministic setting
    Lukkassen, Dag
    Nguetseng, Gabriel
    Nnang, Hubert
    Wall, Peter
    [J]. JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2009, 7 (02): : 121 - 152
  • [46] Pulsating Waves for a Non-monotone Time-Delayed Lattice Equation in Discrete Periodic Habitat
    Pan, Yingli
    [J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2023, 35 (01) : 641 - 662
  • [47] Pulsating Waves for a Non-monotone Time-Delayed Lattice Equation in Discrete Periodic Habitat
    Yingli Pan
    [J]. Journal of Dynamics and Differential Equations, 2023, 35 : 641 - 662
  • [48] Analysis of a parabolic bilateral obstacle problem with non-monotone relations in the domain
    Wang, Xilu
    Cheng, Xiaoliang
    Xuan, Hailing
    [J]. MATHEMATICS AND MECHANICS OF SOLIDS, 2024,
  • [49] HOMOGENIZATION OF PARABOLIC EQUATIONS WITH A CONTINUUM OF SPACE AND TIME SCALES
    Owhadi, Houman
    Zhang, Lei
    [J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2007, 46 (01) : 1 - 36
  • [50] LINEARIZED NUMERICAL HOMOGENIZATION METHOD FOR NONLINEAR MONOTONE PARABOLIC MULTISCALE PROBLEMS
    Abdulle, A.
    Huber, M. E.
    Vilmart, G.
    [J]. MULTISCALE MODELING & SIMULATION, 2015, 13 (03): : 916 - 952
12345