We study the initial boundary value problem for the system of thermoelasticity in a sequence of perforated cylindrical domains , s = 1,2,... We prove that as s → ∞, the solution of the problem converges in appropriate topologies to the solution of a limit initial boundary value problem of the same type but containing some additional terms which are expressed in terms of quantities related to the geometry of . We give an explicit construction of that limit problem.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-1-8,
author = {M. Sango},
title = {Asymptotic analysis of the initial boundary value problem for the thermoelastic system in a perforated domain},
journal = {Colloquium Mathematicae},
volume = {96},
year = {2003},
pages = {91-115},
zbl = {1011.35012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-1-8}
}
M. Sango. Asymptotic analysis of the initial boundary value problem for the thermoelastic system in a perforated domain. Colloquium Mathematicae, Tome 96 (2003) pp. 91-115. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-1-8/