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Pregled bibliografske jedinice broj: 1007373

Roughness-induced effects on the convection- diffusion-reaction problem in a thin domain


Nakasato, Jean Carlos; Pažanin, Igor; Pereira, Marcone Correa
Roughness-induced effects on the convection- diffusion-reaction problem in a thin domain // Applicable analysis (2019) (znanstveni, prihvaćen)


Naslov
Roughness-induced effects on the convection- diffusion-reaction problem in a thin domain

Autori
Nakasato, Jean Carlos ; Pažanin, Igor ; Pereira, Marcone Correa

Vrsta, podvrsta
Radovi u časopisima, znanstveni

Izvornik
Applicable analysis (2019)

Status rada
Prihvaćen

Ključne riječi
Convection-diffusion-reaction equation ; Robin boundary condition ; thin domain ; rough boundary ; unfolding method

Sažetak
In this paper, we investigate a convection- diffusion-reaction problem in a thin domain endowed with the Robin-type boundary condition describing the reaction catalyzed by the upper wall. Motivated by the microfluidic applications, we allow the oscillating behavior of the upper boundary and analyze the resonant case where the amplitude and period of the oscillation have the same small order as the domain's thickness. Depending on the magnitude of the reaction mechanism, we rigorously derive three different asymptotic models via the unfolding operator method. In particular, we identify the critical case in which the effects of the domain's geometry and all physically relevant processes become balanced.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2018-01-2735 - Asimptotička analiza rubnih problema u mehanici kontinuuma (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