Homogenization of convection-diffusion equation in infinite cylinder
Iryna Pankratova, Andrey Lvovich Piatnitski · Networks and Heterogeneous Media · 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 theinterior expansion being regular in time, and an initial layer.