Analytical solution of the cauchy problem for a nonstationary threedi-mensional 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 threedimensional space. In the work using the methods of fo...
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| Format: | Article |
| Language: | English |
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Penerbit Akademia Baru
2021
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| Online Access: | http://umpir.ump.edu.my/id/eprint/33114/ http://umpir.ump.edu.my/id/eprint/33114/1/Analytical%20solution%20of%20the%20cauchy%20problem%20for%20a%20nonstationary%20threedimensional%20model.pdf |
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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. |
| building | UMP Institutional Repository |
| collection | Online Access |
| 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 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. |
| first_indexed | 2025-11-15T03:08:53Z |
| format | Article |
| id | ump-33114 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T03:08:53Z |
| publishDate | 2021 |
| publisher | Penerbit Akademia Baru |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-331142022-06-20T03:01:49Z http://umpir.ump.edu.my/id/eprint/33114/ Analytical solution of the cauchy problem for a nonstationary threedi-mensional model of the filtration theory Rakhymova, Aigerim T. Gabbassov, Mars B. Ahmedov, Anvarjon A. QA Mathematics QC Physics 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. Penerbit Akademia Baru 2021-11 Article PeerReviewed pdf en cc_by_nc_4 http://umpir.ump.edu.my/id/eprint/33114/1/Analytical%20solution%20of%20the%20cauchy%20problem%20for%20a%20nonstationary%20threedimensional%20model.pdf Rakhymova, Aigerim T. and Gabbassov, Mars B. and Ahmedov, Anvarjon A. (2021) Analytical solution of the cauchy problem for a nonstationary threedi-mensional model of the filtration theory. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 87 (1). pp. 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 QC Physics Rakhymova, Aigerim T. Gabbassov, Mars B. Ahmedov, Anvarjon A. Analytical solution of the cauchy problem for a nonstationary threedi-mensional model of the filtration theory |
| title | Analytical solution of the cauchy problem for a nonstationary threedi-mensional model of the filtration theory |
| title_full | Analytical solution of the cauchy problem for a nonstationary threedi-mensional model of the filtration theory |
| title_fullStr | Analytical solution of the cauchy problem for a nonstationary threedi-mensional model of the filtration theory |
| title_full_unstemmed | Analytical solution of the cauchy problem for a nonstationary threedi-mensional model of the filtration theory |
| title_short | Analytical solution of the cauchy problem for a nonstationary threedi-mensional model of the filtration theory |
| title_sort | analytical solution of the cauchy problem for a nonstationary threedi-mensional model of the filtration theory |
| topic | QA Mathematics QC Physics |
| url | http://umpir.ump.edu.my/id/eprint/33114/ http://umpir.ump.edu.my/id/eprint/33114/ http://umpir.ump.edu.my/id/eprint/33114/ http://umpir.ump.edu.my/id/eprint/33114/1/Analytical%20solution%20of%20the%20cauchy%20problem%20for%20a%20nonstationary%20threedimensional%20model.pdf |