Homogenization of the Poisson Equation in a Thick Periodic Junction

被引：0
作者：
Mel'nyk, T. A. [1 ]
机构：
[1] Inst Math A Univ, D-70511 Stuttgart, Germany
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 1999年 / 18卷 / 04期
关键词：
Homogenization; asymptotic estimates; extension operators;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
convergence theorem and asymptotic estimates as epsilon -> 0 are proved for a solution to a mixed boundary-value problem for the Poisson equation in a junction Omega(e) of a domain Omega(0) and a large number N-2 of epsilon-periodically situated thin cylinders with thickness of order e = O(1/N) For this junction, we construct an extension operator and study its properties.
引用
收藏
页码：953 / 975
页数：23
相关论文
共 50 条
  • [31] On the Homogenization of the Periodic Maxwell System
    T. A. Suslina
    Functional Analysis and Its Applications, 2004, 38 : 234 - 237
  • [32] Homogenization of Helmholtz equation in a periodic layer to study Faraday cage-like shielding effects
    Aiyappan, S.
    Griso, Georges
    Orlik, Julia
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024, 69 (04) : 607 - 625
  • [33] Homogenization of thick periodic plates: Application of the Bending-Gradient plate theory to a folded core sandwich panel
    Lebee, A.
    Sab, K.
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2012, 49 (19-20) : 2778 - 2792
  • [34] Homogenization and propagation in the bistable equation
    Keener, JP
    PHYSICA D, 2000, 136 (1-2): : 1 - 17
  • [35] Homogenization of a nonlinear transport equation
    Mellet, A.
    Vasseur, A.
    ASYMPTOTIC ANALYSIS, 2007, 51 (02) : 157 - 166
  • [36] Homogenization of Elastic Plate Equation
    Burazin, Kresimir
    Jankov, Jelena
    Vrdoljak, Marko
    MATHEMATICAL MODELLING AND ANALYSIS, 2018, 23 (02) : 190 - 204
  • [37] On the Homogenization of a Damped Wave Equation
    Timofte, C.
    APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES, 2010, 1301 : 543 - 550
  • [38] Periodic homogenization in the context of structured deformations
    Amar, Micol
    Matias, Jose
    Morandotti, Marco
    Zappale, Elvira
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (04):
  • [39] Homogenization for locally periodic elliptic operators
    Senik, Nikita N.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 505 (02)
  • [40] Homogenization of heat equation with hysteresis
    Francu, J
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2003, 61 (3-6) : 591 - 597
12345