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Journal Articles Electronic Journal of Differential Equations Year : 2014

Strongly anisotropic diffusion problems; asymptotic analysis

Mihai Bostan
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Abstract

The subject matter of this paper concerns anisotropic diffusion equations: we consider heat equations whose diffusion matrices have disparate eigenvalues. We determine first and second order approximations, we study the well-posedness of them and establish convergence results. The analysis relies on averaging techniques, which have been used previously for studying transport equations whose advection fields have disparate components.
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Dates and versions

hal-01266552 , version 1 (02-02-2016)

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Mihai Bostan. Strongly anisotropic diffusion problems; asymptotic analysis. Electronic Journal of Differential Equations, 2014, 256, pp.1043-1092. ⟨10.1016/j.jde.2013.10.008⟩. ⟨hal-01266552⟩
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