Attractors for a Bénard type problem with constraints

Article type: Research Article

Authors: Lezaun, Mikel

Affiliations: Departamento de Matemática Aplicada, Estadística e Investigación Operativa, Facultad de Ciencias, Universidad del País Vasco, Apartado 644, 48080, Bilbao, Spain E‐mail: mepleitm@lg.ehu.es

Abstract: In this paper, we deal with the dynamic of a model for the mass and heat transfer by a gaseous phase with an instantaneous chemical reaction, which is modeled by means of a subdifferential. To solve this problem, we use a penalization method and we prove that a maximal attractor describes the long‐time behaviour of the weak solutions. Furthermore, we prove the upper semicontinuity in L^{2} of the family of attractors related to the penalization approach of this problem.

Journal: Asymptotic Analysis, vol. 23, no. 3-4, pp. 217-238, 2000