| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Zagreb, Dept Math, Fac Sci, Bijenicka 30, Zagreb 10000 - Croatia
[2] Univ Sao Paulo, Dept Appl Math, Inst Matemat & Estat, Rua Matao 1010, Sao Paulo, SP - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS; v. 17, n. 2, p. 579-592, MAR 2018. |
| Web of Science Citations: | 2 |
| Abstract | |
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. (AU) | |
| FAPESP's process: | 13/22275-1 - Dynamical systems given by semilinear parabolic equations |
| Grantee: | Marcone Corrêa Pereira |
| Support Opportunities: | Regular Research Grants |