6533b7d8fe1ef96bd126b697
RESEARCH PRODUCT
Effective coefficients of thermoconductivity on some symmetric periodically perforated plane structures
J. Vucanssubject
PhysicsHomogeneousMathematical analysisModulaNeumann boundary conditionHomogenization (chemistry)Laplace operatordescription
In this article we discuss an auxiliary problem which arises in the homogenization theory for the Laplacian on the plane with periodic array of square holes and homogeneous Neumann boundary conditions on those. Independently, this problem describes the process of thermoconductivity. We find the explicit formulas for effective coefficients of thermoconductivity (homogenized modula). We make also the asymptotic analysis of these formulas in the cases of big and small holes.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-01-01 |