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Homogenization of degenerate coupled fluid flows and heat transport through porous media


Beneš, Michal; Pažanin, Igor
Homogenization of degenerate coupled fluid flows and heat transport through porous media // Journal of mathematical analysis and applications, 446 (2017), 1; 165-192 doi:10.1016/j.jmaa.2016.08.041 (međunarodna recenzija, članak, znanstveni)


Naslov
Homogenization of degenerate coupled fluid flows and heat transport through porous media

Autori
Beneš, Michal ; Pažanin, Igor

Izvornik
Journal of mathematical analysis and applications (0022-247X) 446 (2017), 1; 165-192

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

Ključne riječi
Nonlinear degenerate parabolic system ; homogenization ; asymptotic analysis ; two-scale convergence ; coupled transport processes in porous media

Sažetak
We establish a homogenization result for a fully nonlinear degenerate parabolic system with critical growth arising from the heat and moisture flow through a partially saturated porous media. Existence of a global weak solution of the mesoscale problem is proven by means of a semidiscretization in time, a priori estimates and passing to the limit from discrete approximations. After that, porous material exhibiting periodic spatial oscillations is considered and the two-scale convergence (as the oscillation period vanishes) to a corresponding homogenized problem is rigorously proven.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2013-11-3955 - Matematičko modeliranje i numeričke simulacije procesa u tankim i poroznim sredinama (Eduard Marušić-Paloka, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Igor Pažanin, (267385)

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


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