Convergence results for a semilinear problem and for a Stokes problem in a periodic geometry

Article type: Research Article

Authors: Baillet, Séverine^; | Henrot, Antoine^; | Takahashi, Takéo

Affiliations: IFP, DTIMA, 1 et 4 avenue de Bois-Préau, 92852 Rueil-Malmaison cedex, France | Institut Elie Cartan de Nancy, Nancy-Université, CNRS, INRIA, BP 239, 54506 Vandœuvre-lès-Nancy cedex, France E-mails: [email protected], [email protected], [email protected], [email protected]

Note: [] Corresponding author.

Abstract: In this paper, we study the asymptotic behavior of the solution of a semilinear problem and of a Stokes problem, with periodic data, when the size of the domain increases. In particular, we prove exponential convergence to the solution of the corresponding problem with periodic boundary conditions.

Journal: Asymptotic Analysis, vol. 50, no. 3-4, pp. 325-337, 2006