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  • 1.
    Pankratova, Iryna
    et al.
    Narvik University College, Narvik, Norway.
    Piatnitski, Andrey
    Narvik University College, Narvik, Norway; P.N. Lebedev Physical Institute RAS, Moscow, Russia.
    Homogenization of convection-diffusion equation in infinite cylinder2011In: Networks and Heterogeneous Media, ISSN 1556-1801, E-ISSN 1556-181X, Vol. 6, no 1, p. 111-126Article in journal (Refereed)
    Abstract [en]

    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.

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