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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 168, Number 3, Pages 376–388
DOI: https://doi.org/10.4213/tmf6688 (Mi tmf6688) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Diffusion and Laplacian transport

I. Baydoun, V. A. Zagrebnov

Université de la Méditerranée, Centre de Physique Théorique, Marseille, France
Full-text PDF (443 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6688
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.
Keywords: Laplacian transport, Dirichlet-to-Neumann operator, conformal map.
Received: 15.03.2011
English version:
Theoretical and Mathematical Physics, 2011, Volume 168, Issue 3, Pages 1180–1191
DOI: https://doi.org/10.1007/s11232-011-0097-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. Baydoun, V. A. Zagrebnov, “Diffusion and Laplacian transport”, TMF, 168:3 (2011), 376–388; Theoret. and Math. Phys., 168:3 (2011), 1180–1191
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6688
  • https://www.mathnet.ru/eng/tmf/v168/i3/p376
    • This publication is cited in the following 3 articles:
    1. Sergey D. Traytak, “The generalized method of separation of variables for diffusion-influenced reactions: Irreducible Cartesian tensor technique”, The Journal of Chemical Physics, 161:7 (2024)  crossref
    2. Ibrahim Baydoun, “Localisation Inverse Problem of Absorbing Laplacian Transport”, JMP, 04:05 (2013), 572  crossref
    3. Ibrahim Baydoun, “Localisation Inverse Problem and Dirichlet-to-Neumann Operator for Absorbing Laplacian Transport”, JMP, 04:06 (2013), 772  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:102
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