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Pregled bibliografske jedinice broj: 829910

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)

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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

Projekti:
HRZZ-IP-2013-11-3955 - Matematičko modeliranje i numeričke simulacije procesa u tankim i poroznim sredinama (MaSiMo) (Marušić-Paloka, Eduard, HRZZ - 2013-11) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Igor Pažanin (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com doi.org

Citiraj ovu publikaciju:

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)
Beneš, M. & Pažanin, I. (2017) Homogenization of degenerate coupled fluid flows and heat transport through porous media. Journal of mathematical analysis and applications, 446 (1), 165-192 doi:10.1016/j.jmaa.2016.08.041.
@article{article, author = {Bene\v{s}, Michal and Pa\v{z}anin, Igor}, year = {2017}, pages = {165-192}, DOI = {10.1016/j.jmaa.2016.08.041}, keywords = {Nonlinear degenerate parabolic system, homogenization, asymptotic analysis, two-scale convergence, coupled transport processes in porous media}, journal = {Journal of mathematical analysis and applications}, doi = {10.1016/j.jmaa.2016.08.041}, volume = {446}, number = {1}, issn = {0022-247X}, title = {Homogenization of degenerate coupled fluid flows and heat transport through porous media}, keyword = {Nonlinear degenerate parabolic system, homogenization, asymptotic analysis, two-scale convergence, coupled transport processes in porous media} }
@article{article, author = {Bene\v{s}, Michal and Pa\v{z}anin, Igor}, year = {2017}, pages = {165-192}, DOI = {10.1016/j.jmaa.2016.08.041}, keywords = {Nonlinear degenerate parabolic system, homogenization, asymptotic analysis, two-scale convergence, coupled transport processes in porous media}, journal = {Journal of mathematical analysis and applications}, doi = {10.1016/j.jmaa.2016.08.041}, volume = {446}, number = {1}, issn = {0022-247X}, title = {Homogenization of degenerate coupled fluid flows and heat transport through porous media}, keyword = {Nonlinear degenerate parabolic system, homogenization, asymptotic analysis, two-scale convergence, coupled transport processes in porous media} }

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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