# Wydawnictwa / Czasopisma IMPAN / Colloquium Mathematicum / Wszystkie zeszyty

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

### Tom 95 / 2003

Colloquium Mathematicum 95 (2003), 91-115 MSC: 35B52, 35Q72, 35M10. DOI: 10.4064/cm95-1-8

#### Streszczenie

We study the initial boundary value problem for the system of thermoelasticity in a sequence of perforated cylindrical domains $% Q_{T}^{( s) }$, $s=1,2,\ldots$ We prove that as $s\rightarrow \infty$, 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.

#### Autorzy

• M. SangoDepartment of Mathematics
Vista University
Private Bag X1311, Silverton 0127
Pretoria, South Africa
e-mail

## Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Odśwież obrazek