Solution of a Nonlinear Thermal Problem in Connected Domains

被引：0

作者：

Taghite, M. B. ^{[1
]}

Kouitat, R. ^{[1
]}

Bendib, S. ^{[2
]}

Dubois, G. ^{[1
]}

Bonzi, B. K. ^{[3
]}

机构：

[1] Univ Lorraine, CNRS, Inst Jean Lamour, UMR 7198, F-54042 Nancy, France

[2] Univ Lorraine, Lab Math & Applicat Metz, F-57045 Metz, France

[3] Univ Ouagadougou, Lab Math & Informat, UFR SEA, Ouagadougou, Burkina Faso

来源：

JOURNAL OF MULTISCALE MODELLING | 2015年 / 6卷 / 04期

关键词：

Homogenization; nonlinear problem; Fourier condition; connected domains;

D O I：

10.1142/S1756973715500109

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the limit behavior of nonlinear problems with nonhomogeneous Fourier boundary conditions, in a connected domain is established. This domain consists of two separate parts jointed by a set of bridges. The parameter describing the heterogeneities of the material and the size of the bridges can be very small. The homogenization method is used to estimate the field of temperatures attainable in the medium, depending of the relative order of the size of the bridges. Three situations are studied according to the connectedness of the components of the domain.

引用

页数：26

共 50 条

[1] A remark on the probabilistic solution of the Dirichlet problem for simply connected domains in the plane
Markowsky, Greg
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 464 (02) : 1143 - 1146
[2] A solution method for a certain nonlinear interface problem in unbounded domains
Hu, Q
Yu, D
COMPUTING, 2001, 67 (02) : 119 - 140
[3] A Solution Method for a Certain Nonlinear Interface Problem in Unbounded Domains
Q. Hu
D. Yu
Computing, 2001, 67 : 119 - 140
[4] The mixed problem for nonlinear elliptic complex equations in multiply-connected domains
Wen, Guo Chun
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2014, 59 (07) : 901 - 911
[5] Corrector estimates in homogenization of a nonlinear transmission problem for diffusion equations in connected domains
Kovtunenko, Victor A.
Reichelt, Sina
Zubkova, Anna V.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (04) : 1838 - 1856
[6] The Approximate Solution of 2D Dirichlet Problem in Doubly Connected Domains
El-shenawy, Atallah
Shirokova, Elena A.
ADVANCES IN MATHEMATICAL PHYSICS, 2018, 2018
[7] A pseudospectral method for the direct and the inverse thermal problem in plane, multiply connected domains
M. E. Klonowska
Acta Mechanica, 1998, 130 : 55 - 65
[8] A pseudospectral method for the direct and the inverse thermal problem in plane, multiply connected domains
Klonowska, ME
ACTA MECHANICA, 1998, 130 (1-2) : 55 - 65
[9] EXTREMAL PROBLEM ON MULTIPLY CONNECTED DOMAINS
DAVIS, DB
LOWENTHAL, F
JOURNAL D ANALYSE MATHEMATIQUE, 1975, 27 : 242 - 259
[10] THE DIRICHLET PROBLEM FOR MULTIPLY CONNECTED DOMAINS
REYNOLDS, RR
JOURNAL OF MATHEMATICS AND PHYSICS, 1951, 30 (01): : 11 - 22

← 1 2 3 4 5 →