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High-contrast random systems of PDEs: Homogenization and spectral theory
Communications in Contemporary Mathematics, 1 (2025), 1; 1-49. https://doi.org/10.1142/S0219199725500294
Capoferri, Matteo; Cherdantsev, Mikhail; Velčić, Igor

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Capoferri, M., Cherdantsev, M. i Velčić, I.. High-contrast random systems of PDEs: Homogenization and spectral theory. Communications in Contemporary Mathematics, 1. (1), 1-49. doi: 10.1142/S0219199725500294

Capoferri, Matteo, et al. "High-contrast random systems of PDEs: Homogenization and spectral theory." Communications in Contemporary Mathematics, vol. 1, br. 1, str. 1-49. https://doi.org/10.1142/S0219199725500294

Capoferri, Matteo, Mikhail Cherdantsev i Igor Velčić. "High-contrast random systems of PDEs: Homogenization and spectral theory." Communications in Contemporary Mathematics 1, br. 1 1-49. https://doi.org/10.1142/S0219199725500294

Capoferri, M., Cherdantsev, M. i Velčić, I. 'High-contrast random systems of PDEs: Homogenization and spectral theory', Communications in Contemporary Mathematics, 1(1), str. 1-49. doi: 10.1142/S0219199725500294

Capoferri M, Cherdantsev M, Velčić I. High-contrast random systems of PDEs: Homogenization and spectral theory. Communications in Contemporary Mathematics [Internet]. [pristupljeno 01.04.2025.];1(1):1-49. doi: 10.1142/S0219199725500294

M. Capoferri, M. Cherdantsev i I. Velčić, "High-contrast random systems of PDEs: Homogenization and spectral theory", Communications in Contemporary Mathematics, vol. 1, br. 1, str. 1-49. [Online]. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:168:684093. [Citirano: 01.04.2025.]

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Podaci o radu
Naslov (engleski)High-contrast random systems of PDEs: Homogenization and spectral theory
AutorMatteo Capoferri
AutorMikhail Cherdantsev
AutorIgor Velčić
Autorova ustanovaSveučilište u Zagrebu
Fakultet elektrotehnike i računarstva
(Zavod za primijenjenu matematiku)
Znanstveno / umjetničko
područje, polje i grana		PRIRODNE ZNANOSTI
Matematika
Primijenjena matematika i matematičko modeliranje
Sažetak (engleski)
We develop a qualitative homogenisation and spectral theory for elliptic systems of partial differential equations in divergence form with highly contrasting (i.e., non uniformly elliptic) random coefficients. The focus of the paper is on the behaviour of the spectrum as the heterogeneity parameter tends to zero; in particular, we show that in general one doesn't have Hausdorff convergence of spectra. The theoretical analysis is complemented by several explicit examples, showcasing the wider... Više range of applications and physical effects of systems with random coefficients, when compared with systems with periodic coefficients or with scalar operators (both random and periodic). Sakrij dio sažetka
Ključne riječi (engleski)
Jezikengleski
Vrsta publikacijeZnanstveni rad - Izvorni znanstveni rad
Status objaveObjavljen
Vrsta recenzijeRecenziran - međunarodna recenzija
Verzija publikacijeZavršna verzija rukopisa prihvaćena za objavljivanje (postprint)
Naslov časopisaCommunications in Contemporary Mathematics
Brojčani podacivol. 1, br. 1, str. 1-49, 1
BPC0 EUR
p-ISSN0219-1997
e-ISSN1793-6683
DOIhttps://doi.org/10.1142/S0219199725500294
URN:NBNurn:nbn:hr:168:684093
Datum prihvaćanja za tisak2025-01-15
URL dokumentahttps://www.worldscientific.com/doi/10.1142/S0219199725500294
Vrsta resursaTekst
Prava pristupaZatvoreni pristup
Uvjeti korištenjaIkona licence Zaštićeno autorskim pravom.
Datum i vrijeme pohrane2025-03-26 22:15:46
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