Abstract:
The paper study the asymptotic behaviour of the heat transfer in a bounded domain formed by two interwoven connected components separated by an interface on which the heat flux is continuous and the temperature subjects to a first-order jump condition. The macroscopic laws and their effective coefficients are obtained by means of the two-scale convergence technique of the periodic homogenization theory for several orders of magnitude of the conductivities and of the jump transmission coefficient.
Key Words: Homogenization, heat conduction, first-order jump interface, two-scale convergence.
2000 Mathematics Subject Classification: Primary: 35B27;
Secondary: 80M40, 76M50.
Download the paper in pdf format here.
