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Homogenization of a diffusion equation with drift. (English. Abridged French version) Zbl 0918.35135
Summary: We study the homogenization of a periodic eigenvalue problem for a diffusion equation with first-order term in \(\varepsilon^{-1}\). When this problem is not reducible to divergence form, a drift phenomenon appears. Then, the eigenvectors deviate exponentially in \(\varepsilon^{-1}\) from the solutions of an eigenvalue problem for a homogenized diffusion equation, and the corresponding eigenvalues are shifted by a constant factor in \(\varepsilon^{-2}\).

MSC:
35Q72 Other PDE from mechanics (MSC2000)
35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
35P05 General topics in linear spectral theory for PDEs
82D75 Nuclear reactor theory; neutron transport
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