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Analytical Solution of the Cauchy Problem for a Nonstationary Threedimensional Model of the Filtration Theory

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dc.contributor.author Rakhymova, Aigerim T.
dc.contributor.author Gabbassov, Mars B.
dc.contributor.author Ahmedov, Anvarjon A.
dc.date.accessioned 2024-09-12T11:31:58Z
dc.date.available 2024-09-12T11:31:58Z
dc.date.issued 2021
dc.identifier.issn 2289-7879
dc.identifier.other doi.org/10.37934/arfmts.87.1.118133
dc.identifier.uri http://rep.enu.kz/handle/enu/16278
dc.description.abstract This paper is devoted to the study of the Cauchy problem for a system of differential equations describing the unsteady flow of a compressible fluid in a homogeneous and inhomogeneous porous medium with a general nonlinear filtration law in threedimensional space. In the work using the methods of four-dimensional mathematics, a special four-dimensional space was developed, as well as a functional space of regular functions, and analytical conditions were obtained on the general form of the nonlinear filtration law for which the Cauchy problem has a solution. ru
dc.language.iso en ru
dc.publisher Journal of Advanced Research in Fluid Mechanics and Thermal Sciences ru
dc.relation.ispartofseries Volume 87,;Issue 1
dc.subject Four dimensional space ru
dc.subject regular function ru
dc.subject filtration ru
dc.subject nonlinear equation ru
dc.subject Cauchy problem ru
dc.title Analytical Solution of the Cauchy Problem for a Nonstationary Threedimensional Model of the Filtration Theory ru
dc.type Article ru


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