Structure and differential properties of 2D tensor fields of small ranks Full article
| Journal |
Eurasian Journal of Mathematical and Computer Applications
ISSN: 2306-6172 , E-ISSN: 2308-9822 |
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| Output data | Year: 2025, Volume: 13, Number: 2, Pages: 62-74 Pages count : 13 DOI: 10.32523/2306-6172-2025-13-2-62-74 | ||||
| Tags | tensor field, gradient, divergence, symmetric tensor field, potential field, solenoidal field | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 24-21-00200 |
Abstract:
The Radon transform generates many other integral transforms in integral geometry and tensor tomography. Together with complicated geometrical objects, the weighted ray and Radon transforms arise. Usually symmetric tensor fields are considered as the object should be reconstructed. We consider complete, symmetric and difference non-symmetric tensor fields of small ranks as the objects for applications in integral geometry and tensor tomography. The structure and differential properties of such fields are investigated. We establish a decomposition theorem for a complete tensor field, properties and attributes of solenoidal and potential fields
Cite:
Polyakova A.P.
, Derevtsov E.Y.
Structure and differential properties of 2D tensor fields of small ranks
Eurasian Journal of Mathematical and Computer Applications. 2025. V.13. N2. P.62-74. DOI: 10.32523/2306-6172-2025-13-2-62-74 WOS Scopus OpenAlex
Structure and differential properties of 2D tensor fields of small ranks
Eurasian Journal of Mathematical and Computer Applications. 2025. V.13. N2. P.62-74. DOI: 10.32523/2306-6172-2025-13-2-62-74 WOS Scopus OpenAlex
Dates:
| Submitted: | Sep 10, 2024 |
| Accepted: | Jan 15, 2025 |
| Published print: | Jun 30, 2025 |
| Published online: | Jun 30, 2025 |
Identifiers:
| ≡ Web of science: | WOS:001523328800005 |
| ≡ Scopus: | 2-s2.0-105015179013 |
| ≡ OpenAlex: | W4412368278 |