engleski

Homogenisation theory for Friedrichs systems

We develop a general homogenisation procedure for Friedrichs systems. Under reasonable assumptions, the concepts of G and H-convergence are introduced. As Friedrichs systems can be used to represent various boundary or initial-boundary value problems for partial differential equations, some additional assumptions are needed for compactness results. These assumptions are particularly examined for the stationary diffusion equation, the heat equation and a model example of a first order equation leading to memory effects. In the first two cases, the equivalence with the original notion of H-convergence is proved.

homogenisation ; symmetric positive systems ; H-convergence ; G-convergence ; com- pensated compactness

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