# American Institute of Mathematical Sciences

March  2011, 6(1): 111-126. doi: 10.3934/nhm.2011.6.111

## Homogenization of convection-diffusion equation in infinite cylinder

 1 Narvik University College, Postbox 385, 8505 Narvik, Norway 2 Narvik University College, HiN, Postbox 385, 8505 Narvik, Norway, and, P.N. Lebedev Physical Institute RAS, Leninski prospect, 53, Moscow, 117924

Received  February 2010 Revised  May 2010 Published  March 2011

The paper deals with a periodic homogenization problem for a non-stationary convection-diffusion equation stated in a thin infinite cylindrical domain with homogeneous Neumann boundary condition on the lateral boundary. It is shown that homogenization result holds in moving coordinates, and that the solution admits an asymptotic expansion which consists of the interior expansion being regular in time, and an initial layer.
Citation: Iryna Pankratova, Andrey Piatnitski. Homogenization of convection-diffusion equation in infinite cylinder. Networks & Heterogeneous Media, 2011, 6 (1) : 111-126. doi: 10.3934/nhm.2011.6.111
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