Asymptotic analysis of the initial boundary value problem for the thermoelastic system in a perforated domain

M. Sango. "Asymptotic analysis of the initial boundary value problem for the thermoelastic system in a perforated domain." Colloquium Mathematicae 95.1 (2003): 91-115. <http://eudml.org/doc/285030>.

@article{M2003,
abstract = {We study the initial boundary value problem for the system of thermoelasticity in a sequence of perforated cylindrical domains $Q_\{T\}^\{(s)\}$, 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 $Q_\{T\}^\{(s)\}$. We give an explicit construction of that limit problem.},
author = {M. Sango},
journal = {Colloquium Mathematicae},
keywords = {perforated cylindrical domains; limit problem},
language = {eng},
number = {1},
pages = {91-115},
title = {Asymptotic analysis of the initial boundary value problem for the thermoelastic system in a perforated domain},
url = {http://eudml.org/doc/285030},
volume = {95},
year = {2003},
}

TY - JOUR
AU - M. Sango
TI - Asymptotic analysis of the initial boundary value problem for the thermoelastic system in a perforated domain
JO - Colloquium Mathematicae
PY - 2003
VL - 95
IS - 1
SP - 91
EP - 115
AB - We study the initial boundary value problem for the system of thermoelasticity in a sequence of perforated cylindrical domains $Q_{T}^{(s)}$, 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 $Q_{T}^{(s)}$. We give an explicit construction of that limit problem.
LA - eng
KW - perforated cylindrical domains; limit problem
UR - http://eudml.org/doc/285030
ER -