An asymptotic homogenization formula for complex permittivity and its application

Abstract

The R-linear boundary value problem in a multiply con-nected domain on a flat torus is considered. This problem is closely related to the Riemann-Hilbert problem on analytic functions. The considered problem arises in the homogenization procedure of random media with complex constants which express the permittivity of compo-nents. A new asymptotic formula for the effective permittivity tensor is derived. The formula contains location of inclusions in symbolic form. The application of the derived formula to investigation of the morphol-ogy of the tumor cells in disordered biological media is discussed.

Publication DOI: https://doi.org/10.31197/ATNAA.1223064
Divisions: College of Engineering & Physical Sciences > Aston Institute of Photonics Technology (AIPT)
College of Engineering & Physical Sciences
Funding Information: This research, V. Mityushev, Zh. Zhunussova and K. Dosmagulova, is funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP08856381). Tatjana Gric was supported by the European Unions Horizon 202
Additional Information: Funding Information: This research, V. Mityushev, Zh. Zhunussova and K. Dosmagulova, is funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP08856381). Tatjana Gric was supported by the European Unions Horizon 2020 research and innovation programme under the Marie Sklodowska Curie grant agreement No 713694. Publisher Copyright: © 2023, DergiPark. All rights reserved.
Uncontrolled Keywords: Asymptotic formulas,Composites,homogenization,Analysis,Applied Mathematics
Publication ISSN: 2587-2648
Last Modified: 07 Oct 2024 07:51
Date Deposited: 11 Sep 2023 13:37
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2023-03-31
Accepted Date: 2023-03-08
Authors: Mityushev, Vladimir
Gric, Tatjana
Zhunussova, Zhanat
Dosmagulova, Karlygash

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