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.
|Number of pages||10|
|Journal||Advances in the Theory of Nonlinear Analysis and its Applications|
|Publication status||Published - 31 Mar 2023|
Bibliographical noteFunding 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.
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- Asymptotic formulas