Naslov
A compensated compactness for higher order differential relations

Autori
Raguž, Andrija

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
GAMM Annual Scientific Conference / G.E.A. Meier i dr. - Göttingen : Springer, 2000

Skup
Annual GAMM Meeting 2000

Mjesto i datum
Göttingen, Njemačka, 02.04.2000. - 07.04.2000

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
compensated compactness; weak convergence

Sažetak
In this paper we present two compensated compactness results which generalise well known results of Tartar and Murat. The first result generalises the basic compensated compactness theorem in quadratic case to differential relations of arbitrary order $m$. A particular result of this type has already been used in the homogenisation theory for elastic materials (Antoni\'c and Balenovi\'c, 1999). The other result treats the case where differential relations are of different order, and therefore can not be reduced to the above form. Nevertheless, we obtain a result showing that we can pass to the limit in the product of two weakly converging sequences.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA