Naslov
Parabolic H-convergence and small-amplitude homogenization
(Parabolic H-convergence and small-amplitude homogenisation)

Autori
Antonić, Nenad ; Vrdoljak, Marko

Izvornik
Applicable Analysis (0003-6811) 88 (2009), 10-11; 1493-1508

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
H-measures; parabolic equation; homogenisation

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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