Naslov
Exploring Limit Behaviour of Non-quadratic Terms via H-measures. Application to Small Amplitude Homogenisation.

Autori
Lazar, Martin

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

Izvornik
International Conference on Generalized Functions GF2016, Dubrovnik, 04-09.09.2016 / - , 2016, 1-1

Skup
International Conference on Generalized Functions GF2016

Mjesto i datum
Dubrovnik, Hrvatska, 04.09.2016. - 09.09.2016

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
H-measures ; small amplitude homogenisation ; non-quadratic terms.

Sažetak
Original H-measures explore a quadratic limit behaviour of bounded ${; ; \rm L}; ; ^2$ sequences. We investigate possibilities of handling a general ${; ; \rm L}; ; ^p, p>2$ sequences and describing, roughly speaking, a microlocal limit of $\int|u_n|^p$ via (original) H-measures. The method is applied to the small amplitude homogenisation problem for a stationary diffusion equation, in which coefficients are assumed to be analytic perturbations of a constant, enabling formulae for higher order correction terms. Explicit expressions in terms of Fourier coefficients are obtained under periodicity assumption. The method allows of its generalisation and application to the corresponding non-stationary equation, as well as to some other small amplitude homogenisation problems.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA