Article Contents
Article Contents

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

Partially supported by CNPq 302960/2014-7 and 471210/2013-7, FAPESP 2013/22275-1, Brazil

Partially supported by the Croatian Science Foundation (Grant No. 3955) and University of Zagreb (Grant No. 202778).
• 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.

Mathematics Subject Classification: 34B15, 35B25, 35B40, 35J91.

 Citation:

• Figure 1.  The domain under consideration

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