6 Mar 2008; Mat-Nat Faculty (UiT°), room A228. Thursday 12:15-14:00

Alain Bourgeat (UniversitÚ Lyon1, France) & Andrey Piatnitski (Narvik University College, Norway; Lebedev Physical Institute, Russia)

"Homogenization of a diffusion-convection equation with source term".

Starting from a diffusion convection type PDE, with a source term localized in a high number of thin cylinders, we derive by homogenization and asymptotic expansion a "global" (or scaled up) model. We consider various boundary conditions and convection regimes.
Convergence in norm of the initial solution to the global model solution is proved.