Two-temperature homogenized eigenfunctions of conduction through domains with jump interfaces

被引：0

作者：

Gruais, Isabelle ^{[1
]}

Polisevski, Dan ^{[2
]}

Stefan, Alina ^{[3
]}

机构：

[1] Univ Rennes, CNRS, IRMAR UMR 6625, Rennes, France

[2] IMAR, Bucharest, Romania

[3] Univ Pitesti, Str Targul Din Vale 1, Pitesti, Romania

来源：

APPLICABLE ANALYSIS | 2020年 / 99卷 / 13期

关键词：

Interfacial jump; conduction; eigenvalue; two-scale convergence; homogenization; HEAT-TRANSFER;

D O I：

10.1080/00036811.2018.1563292

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the asymptotic behavior of the eigenvalue problem solutions of the conduction process in an epsilon-periodic domain formed by two components separated by a first-order jump interface. We prove that when epsilon -> 0 the limits of the eigenvalues and eigenfunctions of this problem verify a certain (effective) two-temperature eigenvalue problem. Moreover, we show that the effective eigenvalue problem has only eigenvalues which come from the homogenization process.

引用

页码：2361 / 2370

页数：10

共 50 条

[1] DERIVATION OF A HOMOGENIZED TWO-TEMPERATURE MODEL FROM THE HEAT EQUATION
Desvillettes, Laurent
Golse, Francois
Ricci, Valeria
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2014, 48 (06): : 1583 - 1613
[2] MICROSCOPIC MODELING OF THE TWO-TEMPERATURE MODEL FOR CONDUCTION IN HETEROGENEOUS MEDIA
Rees, D. A. S.
JOURNAL OF POROUS MEDIA, 2010, 13 (02) : 125 - 143
[3] Electron thermal conduction waves in a two-temperature, dense plasma
Ng, A
Forsman, A
Chiu, G
PHYSICAL REVIEW LETTERS, 1998, 81 (14) : 2914 - 2917
[4] Electron thermal conduction waves in a two-temperature, dense plasma
Univ of British Columbia, Vancouver, Canada
Phys Rev Lett, 14 (2914-2917):
[5] Homogenized equations of the linear elasticity in two-dimensional domains with very rough interfaces
Pham Chi Vinh
Do Xuan Tung
MECHANICS RESEARCH COMMUNICATIONS, 2010, 37 (03) : 285 - 288
[6] Internal Structure and Heat Conduction in Rigid Solids: A Two-Temperature Approach
Gonzalez-Narvaez, Ruth Estephania
Lopez de Haro, Mariano
Vazquez, Federico
JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS, 2022, 47 (01) : 13 - 30
[7] Stability analyses of two-temperature radiative shocks: formulation, eigenfunctions, luminosity response and boundary conditions
Saxton, CJ
Wu, KW
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2001, 324 (03) : 659 - 684
[8] Nanoscale modeling of conduction heat transfer in metals using the two-temperature model
Dezfoli, A. R. Ansari
Adabavazeh, Z.
CANADIAN JOURNAL OF PHYSICS, 2015, 93 (11) : 1402 - 1406
[9] ON REACTIVE HEAT CONDUCTION FOR MULTIPLE IONIZED TWO-TEMPERATURE ARGON PLASMA.
Bose, T.K.
Kannappan, D.
Seeniraj, R.V.
1600, (19):
[10] Testing two-temperature thermal-conduction theory for carbon rod composites
Vasil'eva, N.A.
Goncharov, I.V.
Mikov, V.L.
Sazonov, V.V.
Journal of Engineering Physics (English Translation of Inzhenerno-Fizicheskii Zhurnal), 1991, 60 (06): : 744 - 749

← 1 2 3 4 5 →