Polynomial basis in the space of vector functions $H^1_0$ and stokes system in a ball Full article
| Journal |
Eurasian Journal of Mathematical and Computer Applications
ISSN: 2306-6172 , E-ISSN: 2308-9822 |
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| Output data | Year: 2022, Volume: 10, Number: 4, Pages: 73- –95 Pages count : 23 DOI: 10.32523/2306-6172-2022-10-4-73-95 | ||
| Tags | Vector spherical harmonics, vector fields, potential field, solenoidal field, polynomial vector functions, Sobolev space, orthogonal basis, Stokes prodktv | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | 0314-2019-0011 |
Abstract:
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.
Cite:
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
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
Dates:
| Submitted: | Aug 17, 2022 |
| Accepted: | Oct 13, 2022 |
| Published print: | Dec 26, 2022 |
| Published online: | Dec 26, 2022 |
Identifiers:
| Web of science: | WOS:000927495200004 |
| Scopus: | 2-s2.0-85144959247 |
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