| dc.contributor.author | Mityushev, Vladimir | |
| dc.contributor.author | Gric, Tatjana | |
| dc.contributor.author | Zhunussova, Zhanat | |
| dc.contributor.author | Dosmagulova, Karlygash | |
| dc.date.accessioned | 2023-09-18T16:36:10Z | |
| dc.date.available | 2023-09-18T16:36:10Z | |
| dc.date.issued | 2023 | |
| dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/115342 | |
| dc.description.abstract | 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. | eng |
| dc.format | PDF | |
| dc.format.extent | p. 243-252 | |
| dc.format.medium | tekstas / txt | |
| dc.language.iso | eng | |
| dc.relation.isreferencedby | Scopus | |
| dc.relation.isreferencedby | DOAJ | |
| dc.relation.isreferencedby | Zentralblatt MATH (zbMATH) | |
| dc.source.uri | https://dergipark.org.tr/en/download/article-file/2847902 | |
| dc.source.uri | https://dergipark.org.tr/en/pub/atnaa/issue/73409/1223064#article_cite | |
| dc.title | An asymptotic homogenization formula for complex permittivity and its application | |
| dc.type | Straipsnis Scopus DB / Article in Scopus DB | |
| dcterms.license | Creative Commons – Attribution – 4.0 International | |
| dcterms.references | 18 | |
| dc.type.pubtype | S2 - Straipsnis Scopus DB / Scopus DB article | |
| dc.contributor.institution | Cracow University of Technology | |
| dc.contributor.institution | Vilniaus Gedimino technikos universitetas Aston University Valstybinis mokslinių tyrimų institutas Fizinių ir technologijos mokslų centras | |
| dc.contributor.institution | Al-Farabi Kazakh National University | |
| dc.contributor.faculty | Elektronikos fakultetas / Faculty of Electronics | |
| dc.subject.researchfield | T 001 - Elektros ir elektronikos inžinerija / Electrical and electronic engineering | |
| dc.subject.researchfield | N 002 - Fizika / Physics | |
| dc.subject.studydirection | C02 - Fizika / Physics | |
| dc.subject.vgtuprioritizedfields | FM0101 - Fizinių, technologinių ir ekonominių procesų matematiniai modeliai / Mathematical models of physical, technological and economic processes | |
| dc.subject.ltspecializations | L104 - Nauji gamybos procesai, medžiagos ir technologijos / New production processes, materials and technologies | |
| dc.subject.en | composites | |
| dc.subject.en | asymptotic formulas | |
| dc.subject.en | homogenization | |
| dcterms.sourcetitle | Advances in the theory of nonlinear analysis and its applications | |
| dc.description.issue | iss. 1 | |
| dc.description.volume | vol. 7 | |
| dc.publisher.name | ATNAA | |
| dc.identifier.doi | 10.31197/atnaa.1223064 | |
| dc.identifier.elaba | 160739936 | |
