6 Mar 2008; Mat-Nat Faculty (UiTø), room A228. Thursday 12:15-14:00
Alain Bourgeat (Université 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.