Analytical solution of the cauchy problem for a nonstationary three-dimensional model of the filtration theory
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 f...
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| Format: | Article |
| Language: | English |
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Akademi Baru
2021
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| Online Access: | http://umpir.ump.edu.my/id/eprint/32668/1/Analytical%20solution%20of%20the%20cauchy%20problem%20for%20a%20nonstationary.pdf |
| _version_ | 1825814082361491456 |
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| author | Rakhymova, Aigerim T. Gabbassov, Mars B. Ahmedov, Anvarjon A. |
| author_facet | Rakhymova, Aigerim T. Gabbassov, Mars B. Ahmedov, Anvarjon A. |
| author_sort | Rakhymova, Aigerim T. |
| collection | UMP |
| description | 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. |
| first_indexed | 2024-03-06T12:53:34Z |
| format | Article |
| id | UMPir32668 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:53:34Z |
| publishDate | 2021 |
| publisher | Akademi Baru |
| record_format | dspace |
| spelling | UMPir326682021-12-29T02:11:51Z http://umpir.ump.edu.my/id/eprint/32668/ Analytical solution of the cauchy problem for a nonstationary three-dimensional model of the filtration theory Rakhymova, Aigerim T. Gabbassov, Mars B. Ahmedov, Anvarjon A. QA Mathematics 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. Akademi Baru 2021-11 Article PeerReviewed pdf en cc_by_nc_4 http://umpir.ump.edu.my/id/eprint/32668/1/Analytical%20solution%20of%20the%20cauchy%20problem%20for%20a%20nonstationary.pdf 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) https://doi.org/10.37934/arfmts.87.1.118133 https://doi.org/10.37934/arfmts.87.1.118133 |
| spellingShingle | QA Mathematics Rakhymova, Aigerim T. Gabbassov, Mars B. Ahmedov, Anvarjon A. Analytical solution of the cauchy problem for a nonstationary three-dimensional model of the filtration theory |
| title | Analytical solution of the cauchy problem for a nonstationary three-dimensional model of the filtration theory |
| title_full | Analytical solution of the cauchy problem for a nonstationary three-dimensional model of the filtration theory |
| title_fullStr | Analytical solution of the cauchy problem for a nonstationary three-dimensional model of the filtration theory |
| title_full_unstemmed | Analytical solution of the cauchy problem for a nonstationary three-dimensional model of the filtration theory |
| title_short | Analytical solution of the cauchy problem for a nonstationary three-dimensional model of the filtration theory |
| title_sort | analytical solution of the cauchy problem for a nonstationary three dimensional model of the filtration theory |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/32668/1/Analytical%20solution%20of%20the%20cauchy%20problem%20for%20a%20nonstationary.pdf |
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