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On the nonlinear convection-diffusion-reaction problem in a thin domain with a weak boundary absorption


Pažanin, Igor; Pereira, Marcone
On the nonlinear convection-diffusion-reaction problem in a thin domain with a weak boundary absorption // Communications on pure and applied analysis, 17 (2018), 2; 579-592 doi:10.3934/cpaa.2018 (međunarodna recenzija, članak, znanstveni)


Naslov
On the nonlinear convection-diffusion-reaction problem in a thin domain with a weak boundary absorption

Autori
Pažanin, Igor ; Pereira, Marcone

Izvornik
Communications on pure and applied analysis (1534-0392) 17 (2018), 2; 579-592

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

Ključne riječi
Convection-diffusion-reaction equation ; nonlinear boundary condition ; thin domain ; concentrating term

Sažetak
Motivated by the applications from chemical engineering, in this paper we present a rigorous derivation of the effective model describing the convection-diffusion-reaction process in a thin domain. The problem is described by a nonlinear elliptic problem with nonlinearity appearing both in the governing equation as well in the boundary condition. Using rigorous analysis in appropriate functional setting, we show that the starting singular problem posed in a two- dimensional region can be approximated with one which is regular, one-dimensional and captures the effects of all physical processes which are relevant for the original problem.

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)

Citiraj ovu publikaciju

Pažanin, Igor; Pereira, Marcone
On the nonlinear convection-diffusion-reaction problem in a thin domain with a weak boundary absorption // Communications on pure and applied analysis, 17 (2018), 2; 579-592 doi:10.3934/cpaa.2018 (međunarodna recenzija, članak, znanstveni)
Pažanin, I. & Pereira, M. (2018) On the nonlinear convection-diffusion-reaction problem in a thin domain with a weak boundary absorption. Communications on pure and applied analysis, 17 (2), 579-592 doi:10.3934/cpaa.2018.
@article{article, year = {2018}, pages = {579-592}, DOI = {10.3934/cpaa.2018}, keywords = {convection-diffusion-reaction equation, nonlinear boundary condition, thin domain, concentrating term}, journal = {Communications on pure and applied analysis}, doi = {10.3934/cpaa.2018}, volume = {17}, number = {2}, issn = {1534-0392}, title = {On the nonlinear convection-diffusion-reaction problem in a thin domain with a weak boundary absorption}, keyword = {convection-diffusion-reaction equation, nonlinear boundary condition, thin domain, concentrating term} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
  • Scopus


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