Existence theory for Rosseland equation and its homogenized equation

被引：0
|
作者：
张乔夫 [1 ]
崔俊芝 [1 ]
机构：
[1] State Key Laboratory of Scientific and Engineering Computing,Institute of Computational Mathematics and Scientific/Engineering Computing,Academy of Mathematics and Systems Science,Chinese Academy of Sciences
来源：
AppliedMathematicsandMechanics(EnglishEdition) | 2012年 / 33卷 / 12期
基金：
中国国家自然科学基金;
关键词：
nonlinear elliptic equation; fixed point; mixed boundary condition; growth condition; maximal regularity; homogenized equation;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
The global boundness and existence are presented for the kind of the Rosseland equation with a general growth condition.A linearized map in a closed convex set is defined.The image set is precompact,and thus a fixed point exists.A multi-scale expansion method is used to obtain the homogenized equation.This equation satisfies a similar growth condition.
引用
收藏
页码：1595 / 1612
页数：18
相关论文
共 50 条
  • [1] Existence theory for Rosseland equation and its homogenized equation
    Qiao-fu Zhang
    Jun-zhi Cui
    Applied Mathematics and Mechanics, 2012, 33 : 1595 - 1612
  • [2] Existence theory for Rosseland equation and its homogenized equation
    Zhang, Qiao-fu
    Cui, Jun-zhi
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2012, 33 (12) : 1595 - 1612
  • [3] EXISTENCE THEORY FOR HARTREE EQUATION
    STUART, CA
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1973, 51 (01) : 60 - 69
  • [4] EXISTENCE THEORY FOR A STOCHASTIC DIFFERENTIAL EQUATION
    HARDIMAN, ST
    TSOKOS, CP
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1974, 5 (07) : 615 - 621
  • [5] SIMPLIFIED DERIVATION OF THE ROSSELAND DIFFUSION EQUATION.
    Li, Chung-Hsiung
    Journal of the Chinese Institute of Chemical Engineers, 1988, 19 (02): : 127 - 129
  • [6] Existence Theory for the Boussinesq Equation in Modulation Spaces
    Carlos Banquet
    Élder J. Villamizar-Roa
    Bulletin of the Brazilian Mathematical Society, New Series, 2020, 51 : 1057 - 1082
  • [7] Existence Theory for the Boussinesq Equation in Modulation Spaces
    Banquet, Carlos
    Villamizar-Roa, Elder J.
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2020, 51 (04): : 1057 - 1082
  • [8] On the existence theory for the nonlinear thermoelastic plate equation
    Banquet, Carlos
    Doria, Mario
    Villamizar-Roa, Elder J.
    APPLICABLE ANALYSIS, 2024, 103 (03) : 636 - 656
  • [9] DIFFUSION PARAMETER ESTIMATION FOR THE HOMOGENIZED EQUATION
    Manikas, Theodoros
    Papavasiliou, Anastasia
    MULTISCALE MODELING & SIMULATION, 2019, 17 (02): : 675 - 695
  • [10] Attractors and a "strange term" in homogenized equation
    Bekmaganbetov, Kuanysh A.
    Chechkin, Gregory A.
    Chepyzhov, Vladimir V.
    COMPTES RENDUS MECANIQUE, 2020, 348 (05): : 351 - 359
12345