THE PERIODIC UNFOLDING METHOD FOR A CLASS OF PARABOLIC PROBLEMS WITH IMPERFECT INTERFACES

被引：12
|
作者：
Yang, Zhanying [1 ]
机构：
[1] South Cent Univ Nationalities, Dept Math, Wuhan 430074, Peoples R China
来源：
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2014年 / 48卷 / 05期
关键词：
Periodic unfolding method; heat equation; interface problems; homogenization; correctors; HOMOGENIZATION; CORRECTORS; EQUATIONS; WAVE;
D O I：
10.1051/m2an/2013139
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we use the adapted periodic unfolding method to study the homogenization and corrector problems for the parabolic problem in a two-component composite with epsilon-periodic connected inclusions. The condition imposed on the interface is that the jump of the solution is proportional to the conormal derivative via a function of order epsilon(gamma) with gamma <= -1. We give the homogenization results which include those obtained by Jose in [Rev. Roum. Math. Pures Appl. 54 (2009) 189-222]. We also get the corrector results.
引用
收藏
页码：1279 / 1302
页数：24
相关论文
共 50 条
  • [21] Periodic problems and problems with discontinuities for nonlinear parabolic equations
    Tiziana Cardinali
    Nikolaos S. Papageorgiou
    Czechoslovak Mathematical Journal, 2000, 50 : 467 - 497
  • [22] CORRECTORS FOR THE HOMOGENIZATION OF A CLASS OF HYPERBOLIC EQUATIONS WITH IMPERFECT INTERFACES
    Donato, Patrizia
    Faella, Luisa
    Monsurro, Sara
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2008, 40 (05) : 1952 - 1978
  • [23] Homogenization results for a class of parabolic equations with a non-local interface condition via time-periodic unfolding
    M. Amar
    D. Andreucci
    R. Gianni
    C. Timofte
    Nonlinear Differential Equations and Applications NoDEA, 2019, 26
  • [24] A Rothe-immersed interface method for a class of parabolic interface problems
    Kandilarov, JD
    NUMERICAL ANALYSIS AND ITS APPLICATIONS, 2005, 3401 : 328 - 336
  • [25] A modified weak Galerkin finite element method for a class of parabolic problems
    Gao, Fuzheng
    Wang, Xiaoshen
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 271 : 1 - 19
  • [26] Homogenization results for a class of parabolic equations with a non-local interface condition via time-periodic unfolding
    Amar, M.
    Andreucci, D.
    Gianni, R.
    Timofte, C.
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2019, 26 (06):
  • [27] High-frequency homogenization in periodic media with imperfect interfaces
    Assier, Raphael C.
    Touboul, Marie
    Lombard, Bruno
    Bellis, Cedric
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2020, 476 (2244):
  • [28] Permeability of interfaces with alternating pores in parabolic problems
    Andreucci, Daniele
    Bellaveglia, Dario
    ASYMPTOTIC ANALYSIS, 2012, 79 (3-4) : 189 - 227
  • [29] A class of HOC finite difference method for elliptic interface problems with imperfect contact
    Cao, Fujun
    Yuan, Dongfang
    AIMS MATHEMATICS, 2023, 8 (03): : 5789 - 5815
  • [30] Periodic solutions for a class of nonlinear parabolic equations
    Georgiev, Svetlin Georgiev
    APPLICABLE ANALYSIS, 2013, 92 (08) : 1643 - 1654
12345