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

Séverine Baillet (1, 2) , Antoine Henrot (3) , Takeo Takahashi (3)

1 IECN - Institut Élie Cartan de Nancy
2 IFPEN - IFP Energies nouvelles
3 CORIDA - Robust control of infinite dimensional systems and applications

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.

Domaines: Equations aux dérivées partielles [math.AP]

Séverine Baillet, Antoine Henrot, Takeo Takahashi. Convergence results for a semilinear problem and for a Stokes problem in a periodic geometry. Asymptotic Analysis, 2006, 50 (3-4), pp.325-337. ⟨hal-00097998v2⟩