ON THE NONLINEAR CONVECTION-DIFFUSION-REACTION PROBLEM IN A THIN DOMAIN WITH A WEAK BOUNDARY ABSORPTION

Autor(es)

Pazanin, Igor ^[1] ; Pereira, Marcone C. ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS; v. 17, n. 2, p. 579-592, MAR 2018.
• Citações Web of Science: 2

Resumo

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)

• Processo FAPESP: 13/22275-1 - Sistemas dinâmicos gerados por equações parabólicas semilineares
• Beneficiário: Marcone Corrêa Pereira
• Modalidade de apoio: Auxílio à Pesquisa - Regular