An asymptotic homogenization formula for complex permittivity and its application

Mityushev, Vladimir; Gric, Tatjana; Zhunussova, Zhanat; Dosmagulova, Karlygash

doi:10.31197/atnaa.1223064

Use this URL to cite this publication: https://hdl.handle.net/20.500.14911/115342

An asymptotic homogenization formula for complex permittivity and its application

Details

Publication Type (CRIS)

Straipsnis Scopus duomenų bazėje / Article in Scopus database (S1b)

Publication Type (eLABa)

Straipsnis Scopus DB / Scopus DB article (S2)

VILNIUS TECH Research Priorities and Topics

Fizinių, technologinių ir ekonominių procesų matematiniai modeliai / Mathematical models of physical, technological and economic processes (FM0101)

Lithuanian Intelligent Specialization

Nauji gamybos procesai, medžiagos ir technologijos / New production processes, materials and technologies (L104)

Author(s)

Author	Affiliation
Mityushev, Vladimir	Cracow University of Technology
Gric, Tatjana	Elektroninių sistemų katedra / Department of Electronic Systems (0549)	Aston University	Valstybinis mokslinių tyrimų institutas Fizinių ir technologijos mokslų centras
Zhunussova, Zhanat	Al-Farabi Kazakh National University
Dosmagulova, Karlygash	Al-Farabi Kazakh National University

Title

An asymptotic homogenization formula for complex permittivity and its application

[en]

Vladimir Mityushev, Tatjana Gric, Zhanat Zhunussova, Karlygash Dosmagulova

Is part of

Advances in the theory of nonlinear analysis and its applications

Published In

Year	Volume	Issue	Start Page	End Page
2023	7	1	243	252

Publisher

ATNAA

Publisher (trusted)

ATNAA

Referenced in Database(s)(DBs)

SCOPUS

DOAJ

Zentralblatt MATH (zbMATH)

Extent

p. 243-252

URI

URI	Access Rights
https://hdl.handle.net/20.500.14911/115342
https://dergipark.org.tr/en/download/article-file/2847902	Viso teksto dokumentas (atviroji prieiga) / Full Text Document (Open Access)
https://dergipark.org.tr/en/pub/atnaa/issue/73409/1223064#article_cite	Dokumento santrauka/dalis

DOI

10.31197/atnaa.1223064

Cited references

Science / Art Area

Technologijos mokslai / Technological sciences (T)

Field of Science / Art

Elektros ir elektronikos inžinerija / Electrical and electronic engineering (T001)

Fizika / Physics (N002)

Keywords (en)

Abstract (en)

The R-linear boundary value problem in a multiply connected 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 components. 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 morphology of the tumor cells in disordered biological media is discussed.