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Diffusion and laplacian transport for absorbing domains

Аннотация

We study (stationary) Laplacian transport by the Dirichlet-to-Neumann formalism. Our results concern a formal solution of the geometrically inverse problem for localisation and reconstruction of the form of absorbing domains. Here, we restrict our analysis to the one- and two-dimensional cases. We show that the last case can be studied by the conformal mapping technique. To illustrate this, we scrutinize the constant boundary conditions and analyze a numeric example.

Об авторах

I. Baydoun

Франция


V. Zagrebnov
Departement de Mathematiques- Universite d’Aix-Marseille
Франция


Список литературы

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Рецензия

Для цитирования:


 ,   . Наносистемы: физика, химия, математика. 2013;4(4):446-466.

For citation:


Baydoun I., Zagrebnov V.A. Diffusion and laplacian transport for absorbing domains. Nanosystems: Physics, Chemistry, Mathematics. 2013;4(4):446-466.

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ISSN 2220-8054 (Print)
ISSN 2305-7971 (Online)