Structure and differential properties of 2D tensor fields of small ranks | Sciact - Система учета научной деятельности ИМ СО РАН

Structure and differential properties of 2D tensor fields of small ranks Научная публикация

Журнал

Eurasian Journal of Mathematical and Computer Applications
ISSN: 2306-6172 , E-ISSN: 2308-9822

Вых. Данные

Год: 2025, Том: 13, Номер: 2, Страницы: 62-74 Страниц : 13 DOI: 10.32523/2306-6172-2025-13-2-62-74

Ключевые слова

tensor field, gradient, divergence, symmetric tensor field, potential field, solenoidal field

Авторы

Polyakova A.P ^1,2 , Derevtsov E.Yu. ^1,2

Организации

1	Sobolev Institute of Mathematics
2	Novosibirsk State University

Информация о финансировании (1)

Российский научный фонд

24-21-00200

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

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

Поступила в редакцию:	10 сент. 2024 г.
Принята к публикации:	15 янв. 2025 г.
Опубликована в печати:	30 июн. 2025 г.
Опубликована online:	30 июн. 2025 г.

≡ Web of science:	WOS:001523328800005
≡ Scopus:	2-s2.0-105015179013
≡ OpenAlex:	W4412368278