Naslov
Homogenisation of nonlinear elliptic systems

Autori
Antonić, Nenad ; Raguž, Andrija ; Vrdoljak, Marko

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Applied mathematics and computation / Rogina, Mladen ; Hari, Vjeran ; Limić, Nedžad ; Tutek, Zvonimir - Zagreb : Matematički odsjek Prirodoslovno-matematičkog fakulteta Sveučilišta u Zagrebu, 2001, 81-90

Skup
Applied mathematics and computation

Mjesto i datum
Dubrovnik, Hrvatska, 13.09.1999. - 18.09.1999

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
H-convergence; homogenisation

Sažetak
We consider nonperiodic homogenisation of nonlinear elliptic equations of arbitrary order following the ideas of Murat and Tartar developed in the case of stationary diffusion equation. Although the notion of $H$-convergence is defined analogously, the main problem arises in the determination of stable classes of functions with respect to $H$-convergence, and in the proof of the compactness result. Some other properties of $H$-convergence, such as locality principle and independence of boundary conditions, are also obtained. The same concept of $H$-convergence can be successfully applied to the case of linear and nonlinear elliptic systems of higher order. We present some properties of such a convergence.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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