Polynomial basis in the space of vector functions $H^1_0$ and stokes system in a ball | Sciact - Система учета научной деятельности ИМ СО РАН

Polynomial basis in the space of vector functions $H^1_0$ and stokes system in a ball Научная публикация

Журнал

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

Вых. Данные

Год: 2022, Том: 10, Номер: 4, Страницы: 73- –95 Страниц : 23 DOI: 10.32523/2306-6172-2022-10-4-73-95

Ключевые слова

Vector spherical harmonics, vector fields, potential field, solenoidal field, polynomial vector functions, Sobolev space, orthogonal basis, Stokes prodktv

Авторы

Kazantsev S.G. ¹

Организации

1	Sobolev Institute of Mathematics SB RAS, 4 Acad. Koptyug avenue, 630090 Novosibirsk Russia,

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

0314-2019-0011

In this paper orthogonal polynomial basis in the homogeneous Sobolev space of vector functions $H^1_0(B^3) $ is constructed. Some of this vector functions are vector potentials for solenoidal fields from the basis of the space $L_2(B^3).$ Finaly the Dirichlet boundary value problem for the stationary Stokes system in a ball is solved. Two approaches to solve this problem in the form of series are proposed.

Kazantsev S.G.
Polynomial basis in the space of vector functions $H^1_0$ and stokes system in a ball
Eurasian Journal of Mathematical and Computer Applications. 2022. V.10. N4. P.73- –95. DOI: 10.32523/2306-6172-2022-10-4-73-95 WOS Scopus

Поступила в редакцию:	17 авг. 2022 г.
Принята к публикации:	13 окт. 2022 г.
Опубликована в печати:	26 дек. 2022 г.
Опубликована online:	26 дек. 2022 г.

Web of science:	WOS:000927495200004
Scopus:	2-s2.0-85144959247

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