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Diffusion and laplacian transport

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Abstract

We study (stationary) Laplacian transport in the Dirichlet-to-Neumann formalism. Our main results concern a formal solution of the geometric inverse problem for localization and the form of absorbing domains. We restrict our analysis to one and two dimensions. We show that the latter case can be studied using the conformal mapping technique.

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Authors and Affiliations

  1. Centre de Physique Théorique, Université de la Méditerranée, Marseille, France

    I. Baydoun & V. A. Zagrebnov

Authors
  1. I. Baydoun
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  2. V. A. Zagrebnov
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Correspondence to I. Baydoun.

Additional information

This paper is dedicated to Sergei Vladimirovich Tyablikov with profound respect for his impact on our knowledge of different aspects of many-body problems, which currently cannot be overestimated.

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 168, No. 3, pp. 376–388, September, 2011.

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Baydoun, I., Zagrebnov, V.A. Diffusion and laplacian transport. Theor Math Phys 168, 1180–1191 (2011). https://doi.org/10.1007/s11232-011-0097-8

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