Pregled bibliografske jedinice broj: 820323
Exploring limit behaviour of non-quadratic terms via H-measures. Application to small amplitude homogenisation
Exploring limit behaviour of non-quadratic terms via H-measures. Application to small amplitude homogenisation // Applicable analysis, 96 (2017), 16; 2832-2845 doi:10.1080/00036811.2016.1248422 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 820323 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Exploring limit behaviour of non-quadratic terms via H-measures. Application to small amplitude homogenisation
Autori
Lazar, Martin
Izvornik
Applicable analysis (0003-6811) 96
(2017), 16;
2832-2845
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
small amplitude homogenisation ; H-measures ; non-quadratic terms
Sažetak
A method is developed for analysing asymptotic behaviour of terms involving an arbitrary integer order powers of L p functions by means of H-measures. It 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 formulæ for higher order correction terms in a general, non-periodic setting. 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
Projekti:
HRZZ-IP-2013-11-9780 - Metode slabih convergencija i primjene (WeConMApp) (Antonić, Nenad, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Sveučilište u Dubrovniku
Profili:
Martin Lazar
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
