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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Akademi Baru
2021
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/32668/1/Analytical%20solution%20of%20the%20cauchy%20problem%20for%20a%20nonstationary.pdf |
| Summary: | 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. |
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