najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМОnajo-1193Research ArticleINVITED SPEAKERSINVITED SPEAKERSDiffusion and laplacian transport for absorbing domainsBaydounI.

 Ibrahim Baydoun

Ecole Centrale Paris 2 Avenue Sully Prudhomme, 92290 Chtenay-Malabry

ib_baydoun1985@hotmail.comZagrebnovV. A.

Valentin A. Zagrebnov

 Laboratoire d’Analyse, Topologie et Probabilites (UMR 7353) CMI-Technopole Chateau-Gombert,  39, rue F. Joliot Curie, 13453 Marseille Cedex 13

Valentin.Zagrebnov@univ-amu.frDepartement de Mathematiques- Universite d’Aix-MarseilleFrance20132008202544Special Issue. INTERNATIONAL CONFERENCE "MATHEMATICAL CHALLENGE OF QUANTUM TRANSPORT IN NANOSYSTEMS - 2013. PIERRE DUCLOS WORKSHOP"446466Copyright © Baydoun I., Zagrebnov V.A., 20252025Baydoun I., Zagrebnov V.A.Baydoun I., Zagrebnov V.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/1193

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.

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The authors declare that there are no conflicts of interest present.