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

• Autorzy: M. Sango
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35M10: Equations of mixed type

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 95
• Numer: 1
• Strony: 91-115

Daty

wydano

2003

Twórcy

autor

M. Sango

• Department of Mathematics, Vista University, Private Bag X1311, Silverton 0127, Pretoria, South Africa

Identyfikatory

DOI

10.4064/cm95-1-8