Parabolic H-convergence and small-amplitude homogenisation (CROSBI ID 150349)
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Antonić, Nenad ; Vrdoljak, Marko
engleski
Parabolic H-convergence and small-amplitude homogenisation
H-convergence and small amplitude homogenisation is studied for linear parabolic problems with coeffi cients which may depend on time. The small-amplitude homogenisation consists in taking a sequence of coeffi cients which diff erence is proportional to a small parameter, and then computing the fi rst correction in the limit. We recall the defi nition and main results on H-convergence for non-stationary diff usion equation, and prove that the smoothness (with respect to a parameter) is preserved in the process of taking the H-limit, which is essential for our purposes. The explicit expression for the correction is obtained by using a recently introduced parabolic variant of H-mesures.
H-measures; parabolic equation; homogenisation
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