Abstract:
The quasi-hydrodynamic system was proposed by Sheretov Yu.V. in 1993. It differs from the Navier-Stokes system in dynamics of a viscous incompressible fluid by the additional divergent terms. In this paper, the Gromeki-Beltrami method is used to construct a new one-parameter family of exact solutions of a quasi-hydrodynamic system, which also satisfy to the Navier-Stokes system. This family is generated by the eigenfunction of two-dimensional Laplace operator.
Citation:
V. V. Grigoryeva, Yu. V. Sheretov, “On a new class of exact solutions of Quasi-Hydrodynamic system, generated by eigenfunctions of two-dimensional Laplace operator”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2022, no. 1, 5–17
\Bibitem{GriShe22}
\by V.~V.~Grigoryeva, Yu.~V.~Sheretov
\paper On a new class of exact solutions of Quasi-Hydrodynamic system, generated by eigenfunctions of two-dimensional Laplace operator
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2022
\issue 1
\pages 5--17
\mathnet{http://mi.mathnet.ru/vtpmk631}
\crossref{https://doi.org/10.26456/vtpmk631}
\elib{https://elibrary.ru/item.asp?id=48335143}
Linking options:
https://www.mathnet.ru/eng/vtpmk631
https://www.mathnet.ru/eng/vtpmk/y2022/i1/p5
This publication is cited in the following 1 articles:
Citation in format AMSBIB
![Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]](/JrnLogos/vtpmk/vtpmk_big.jpg)
Contact us: