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Mathematical notes of NEFU, 2022, Volume 29, Issue 4, Pages 11–20
DOI: https://doi.org/10.25587/SVFU.2023.74.36.002 (Mi svfu365) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Weak approximation method for the Cauchy problem for a one-dimensional system of Hopf-type equations

B. Kh. Imomnazarova, U. К. Turdievb, D. А. Erkinovac

a Novosibirsk State University
b Qarshi Branch of Tashkent University of Information Technologies
c Qarshi Davlat Univesity
Full-text PDF (258 kB) Citations (2)
DOI: https://doi.org/10.25587/SVFU.2023.74.36.002
Abstract: A system of Hopf-type equations is obtained. The Cauchy problem for a one-dimensional system of equations of the Hopf type which arises in two-velocity hydrodynamics is considered. The existence and uniqueness of a solution to the Cauchy problem for the one-dimensional system of the Hopf type is proved by the method of weak approximation.
Keywords: two-velocity hydrodynamics, Hopf-type system, weak approximation method, friction coefficient.
Funding agency Grant number
Russian Foundation for Basic Research 21–51–15002
Received: 10.10.2022
Accepted: 29.11.2022
Document Type: Article
UDC: 532.5
Language: Russian
Citation: B. Kh. Imomnazarov, U. К. Turdiev, D. А. Erkinova, “Weak approximation method for the Cauchy problem for a one-dimensional system of Hopf-type equations”, Mathematical notes of NEFU, 29:4 (2022), 11–20
Citation in format AMSBIB
\Bibitem{ImoTurErk22}
\by B.~Kh.~Imomnazarov, U.~К.~Turdiev, D.~А.~Erkinova
\paper Weak approximation method for the Cauchy problem for a one-dimensional system of Hopf-type equations
\jour Mathematical notes of NEFU
\yr 2022
\vol 29
\issue 4
\pages 11--20
\mathnet{http://mi.mathnet.ru/svfu365}
\crossref{https://doi.org/10.25587/SVFU.2023.74.36.002}
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