Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2016, Issue 3, Pages 35–46
DOI: https://doi.org/10.26456/vtpmk19 (Mi vtpmk19) 		 
Mathematical Modelling, Numerical Methods and Software Systems

On spherical functions for Stokes system

I. V. Zakharova

Tver State University
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DOI: https://doi.org/10.26456/vtpmk19
Abstract: The article investigates the stationary three-dimensional problem of flow around a finite body of a viscous incompressible fluid. Scale of functional spaces, which belong to the physically realizable solution, is selected. The problem is considered in the linearized formulation for the case where the flow velocity tends to zero at infinity. Class of functions in the right part of the equations of motion, which satisfy this condition, is described. Examples are provided.
Keywords: exterior Stokes problem, non-Newtonian fluid, spherical functions, ñompatibility condition, Legendre polynomials.
Received: 19.02.2016
Revised: 01.08.2016
Bibliographic databases:
Document Type: Article
UDC: 517.94
Language: Russian
Citation: I. V. Zakharova, “On spherical functions for Stokes system”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2016, no. 3, 35–46
Citation in format AMSBIB
\Bibitem{Zak16}
\by I.~V.~Zakharova
\paper On spherical functions for Stokes system
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2016
\issue 3
\pages 35--46
\mathnet{http://mi.mathnet.ru/vtpmk19}
\crossref{https://doi.org/10.26456/vtpmk19}
\elib{https://elibrary.ru/item.asp?id=27310774}
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