Rakhymova, Aigerim T. and Gabbassov, Mars B. and Ahmedov, Anvarjon A. (2021) Analytical solution of the cauchy problem for a nonstationary three-dimensional model of the filtration theory. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 87 (1). 118 -133. ISSN 2289-7879. (Published)
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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 three-dimensional space. In the work using the methods of four-dimensional mathematics, a special four-dimensional space of space and time coordinates 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.
| Item Type: | Article |
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| Additional Information: | Indexed by Scopus |
| Uncontrolled Keywords: | Four dimensional space; Regular function; Filtration; Nonlinear equation; Cauchy problem |
| Subjects: | Q Science > QA Mathematics |
| Faculty/Division: | Center for Mathematical Science |
| Depositing User: | Mrs Norsaini Abdul Samat |
| Date Deposited: | 29 Dec 2021 02:11 |
| Last Modified: | 29 Dec 2021 02:11 |
| URI: | http://umpir.ump.edu.my/id/eprint/32668 |
| Download Statistic: | View Download Statistics |
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