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Pregled bibliografske jedinice broj: 642707

Homogenisation theory for Friedrichs systems


Burazin, Krešimir; Vrdoljak, Marko
Homogenisation theory for Friedrichs systems // Communications on pure and applied analysis, 13 (2014), 3; 1017-1044 doi:10.3934/cpaa2014.13.101 (međunarodna recenzija, članak, znanstveni)


Naslov
Homogenisation theory for Friedrichs systems

Autori
Burazin, Krešimir ; Vrdoljak, Marko

Izvornik
Communications on pure and applied analysis (1534-0392) 13 (2014), 3; 1017-1044

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Homogenisation; symmetric positive systems; H-convergence; G-convergence; com- pensated compactness

Sažetak
We develop a general homogenisation procedure for Friedrichs systems. Under reasonable assumptions, the concepts of G and H-convergence are introduced. As Friedrichs systems can be used to represent various boundary or initial-boundary value problems for partial differential equations, some additional assumptions are needed for compactness results. These assumptions are particularly examined for the stationary diffusion equation, the heat equation and a model example of a first order equation leading to memory effects. In the first two cases, the equivalence with the original notion of H-convergence is proved.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
037-0372787-2795 - Titrajuća rješenja parcijalnih diferencijalnih jednadžbi (Nenad Antonić, )
037-1193086-3226 - Matematičko modeliranje geofizičkih pojava (Marko Vrdoljak, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Sveučilište u Osijeku, Odjel za matematiku

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


Uključenost u ostale bibliografske baze podataka:


  • INSPEC
  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts


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