Homogenisation theory for Friedrichs systems (CROSBI ID 195587)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Burazin, Krešimir ; Vrdoljak, Marko
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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Podaci o izdanju
13 (3)
2014.
1017-1044
objavljeno
1534-0392
1553-5258
10.3934/cpaa.2014.13.1017