Naslov
Young and H-Measures for Relaxation of Multi-Well Energies

Autori
Antonić Nenad ; Balenović, Neven ; Vrdoljak, Marko

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

Izvornik
2nd Croatian congress of mathematics / Šikić, Hrvoje i dr. - Zagreb, 2000, 33-33

Skup
2nd Croatian congress of mathematics

Mjesto i datum
Zagreb, Hrvatska, 15.07.2000. - 17.07.2000

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Domaća recenzija

Ključne riječi
non-convex energy functionals; relaxation; H-measures; Young measures

Sažetak
Non-convex energy functionals are known to be lacking minimisers in the usual sense, due to the fact that minimising sequences tend to oscillate rapidly aiming to satisfy imposed restrictions, thus exhibiting microstructures. Mathematical tools known to be able to give some information on microstructures are Young measures (introduced in the thirties by L.C.Young and applied in this context by L.Tartar in the seventies) and H-measures (L.Tartar 1990, and independently P.Gerard 1991). Particularly, in the case of the multi-well energy minimisation, we use the above tools to construct generalised minimisers and obtain good bounds, following the ideas of Kohn, Ball & James and Tartar. The relevance of these results for real materials will be discussed as well.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA