Analytical Solution of the Cauchy Problem for a Nonstationary Threedimensional Model of the Filtration Theory
Rakhymova A.T. Gabbassov M.B. Ahmedov A.A.
November 2021Penerbit Akademia Baru
Journal of Advanced Research in Fluid Mechanics and Thermal Sciences
2021#87Issue 1118 - 133 pp.
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.
Cauchy problem , filtration , Four dimensional space , nonlinear equation , regular function
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L.N.Gumilyov Eurasian National University, Nur Sultan, 010000, Kazakhstan
“Factor” System Research Company LLP, L.N.Gumilyov Eurasian National University, Nur Sultan, 010000, Kazakhstan
Pusat Sains Matematik, Universiti Malaysia Pahang, Lebuhraya Tun Razak, Gambang, Kuantan, 26300, Pahang, Malaysia
L.N.Gumilyov Eurasian National University
“Factor” System Research Company LLP
Pusat Sains Matematik
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