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Homogenization of convection-diffusion equation. Case of high Peclet number

We consider convection-diffusion equation with spatially periodic coefficients. The period $\eps$ is a small quantity and the local Peclet number is taken to be of order O(1) when $\eps$ tends to zero. We homogenize the equation with respect to spatial oscillations and we make numerical comparison of the solutions of homogeneous and non-homogeneous equations.

homogenization; convection; diffusion; Peclet number

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