Splitting method and the existence of a strong solution of the Navier-Stokes equations

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dc.contributor.author Akishev (Akysh), A.Sh.
dc.date.accessioned 2019-08-19T08:32:40Z
dc.date.available 2019-08-19T08:32:40Z
dc.date.issued 2019-06-28
dc.identifier.citation Akishev, A.Sh. Splitting method and the existence of a strong solution of the Navier-Stokes equations / A.Sh. Akishev // Қарағанды универисетінің хабаршысы. Математика сериясы.=Вестник Карагандинского университета. Серия Математика.=Bulletin of the Karaganda University. Mathematics Series. – 2019. - № 2. – P. 8-14. ru_RU
dc.identifier.issn 2518-7929
dc.identifier.issn 2663-5011
dc.identifier.uri http://rep.ksu.kz//handle/data/7265
dc.description.abstract In the author’s article from the previous issue of the journal from the properties of the ONS solutions the relation between pressure and module square of velocity vector is set. Based on which the uniqueness of the weak and existence of strong solutions of the problem for three-dimensional equations of Navier-Stokes as a whole over time are proved. The result is a contribution to a qualitative mathematical theory of the Navier-Stokes equations. However, one of the actual problems in the theory of equations of Navier-Stokes is the choice of the mathematical method for proofs of the existence of a theorem. In the work splitting method is chosen to solve the Navier-Stokes equations. The rationale of this method is given. The compactness of the solution sequence is showed, thus the existence of strong solutions of the problem for three-dimensional Navier-Stokes equations as a whole over time is proved. ru_RU
dc.language.iso en ru_RU
dc.publisher Ye.A.Buketov Karaganda State University Publishing house ru_RU
dc.relation.ispartofseries Қарағанды универисетінің хабаршысы. Математика Сериясы.=Вестник Карагандинского университета. Серия Математика.=Bulletin of the Karaganda University. Mathematics Series.;№ 2(94)/2019
dc.subject the Navier-Stokes equations ru_RU
dc.subject splitting method for the Navier-Stokes equations ru_RU
dc.subject compactness ru_RU
dc.subject the existence of strong solutions ru_RU
dc.subject determination algorithm of strong solutions ru_RU
dc.title Splitting method and the existence of a strong solution of the Navier-Stokes equations ru_RU
dc.title.alternative Навье-Стокс теңдеуінің ыдырату әдісі және әлді шешімнің табылатындығы ru_RU
dc.title.alternative Метод расщепления и существование сильного решения уравнений Навье-Стокса ru_RU
dc.type Article ru_RU


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