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Pregled bibliografske jedinice broj: 999052

Homogenization of degenerate coupled transport processes in porous media with memory terms


Beneš, Michal; Pažanin, Igor
Homogenization of degenerate coupled transport processes in porous media with memory terms // Mathematical methods in the applied sciences, 42 (2019), 18; 6227-6258 doi:10.1002/mma.5718 (međunarodna recenzija, članak, znanstveni)


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Naslov
Homogenization of degenerate coupled transport processes in porous media with memory terms

Autori
Beneš, Michal ; Pažanin, Igor

Izvornik
Mathematical methods in the applied sciences (0170-4214) 42 (2019), 18; 6227-6258

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

Ključne riječi
Nonlinear degenerate parabolic system ; Homogenization ; Two-scale convergence ; Coupled transport processes in porous media ; Robin boundary conditions

Sažetak
In this paper we establish a homogenization result for a doubly nonlinear parabolic system arising from the hygro-thermo-chemical processes in porous media taking into account memory phenomena. We present a mesoscale model of the composite (heterogeneous) material where each component is considered as a porous system and the voids of the skeleton are partially saturated with liquid water. It is shown that the solution of the mesoscale problem is two- scale convergent to that of the upscaled problem as the spatial parameter goes to zero.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2018-01-2735 - Asimptotička analiza rubnih problema u mehanici kontinuuma (ASAN) (Marušić-Paloka, Eduard, HRZZ - 2018-01) ( CroRIS)

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

Profili:

Avatar Url Igor Pažanin (autor)

Poveznice na cjeloviti tekst rada:

doi onlinelibrary.wiley.com doi.org

Citiraj ovu publikaciju:

Beneš, Michal; Pažanin, Igor
Homogenization of degenerate coupled transport processes in porous media with memory terms // Mathematical methods in the applied sciences, 42 (2019), 18; 6227-6258 doi:10.1002/mma.5718 (međunarodna recenzija, članak, znanstveni)
Beneš, M. & Pažanin, I. (2019) Homogenization of degenerate coupled transport processes in porous media with memory terms. Mathematical methods in the applied sciences, 42 (18), 6227-6258 doi:10.1002/mma.5718.
@article{article, author = {Bene\v{s}, Michal and Pa\v{z}anin, Igor}, year = {2019}, pages = {6227-6258}, DOI = {10.1002/mma.5718}, keywords = {Nonlinear degenerate parabolic system, Homogenization, Two-scale convergence, Coupled transport processes in porous media, Robin boundary conditions}, journal = {Mathematical methods in the applied sciences}, doi = {10.1002/mma.5718}, volume = {42}, number = {18}, issn = {0170-4214}, title = {Homogenization of degenerate coupled transport processes in porous media with memory terms}, keyword = {Nonlinear degenerate parabolic system, Homogenization, Two-scale convergence, Coupled transport processes in porous media, Robin boundary conditions} }
@article{article, author = {Bene\v{s}, Michal and Pa\v{z}anin, Igor}, year = {2019}, pages = {6227-6258}, DOI = {10.1002/mma.5718}, keywords = {Nonlinear degenerate parabolic system, Homogenization, Two-scale convergence, Coupled transport processes in porous media, Robin boundary conditions}, journal = {Mathematical methods in the applied sciences}, doi = {10.1002/mma.5718}, volume = {42}, number = {18}, issn = {0170-4214}, title = {Homogenization of degenerate coupled transport processes in porous media with memory terms}, keyword = {Nonlinear degenerate parabolic system, Homogenization, Two-scale convergence, Coupled transport processes in porous media, Robin boundary conditions} }

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


Citati:





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