Strongly anisotropic diffusion problems; asymptotic analysis

Mihai Bostan

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arXiv · 1210.6330

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 matrix 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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Mihai Bostan. 2012-10-23. Strongly anisotropic diffusion problems; asymptotic analysis. https://arxiv.org/abs/1210.6330

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