On the nonlinear convection-diffusion-reaction problem in a thin domain with a weak boundary absorption (CROSBI ID 241332)
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Podaci o odgovornosti
Pažanin, Igor ; Pereira, Marcone
engleski
On the nonlinear convection-diffusion-reaction problem in a thin domain with a weak boundary absorption
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.
convection-diffusion-reaction equation ; nonlinear boundary condition ; thin domain ; concentrating term
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Podaci o izdanju
17 (2)
2018.
579-592
objavljeno
1534-0392
1553-5258
10.3934/cpaa.2018031