On one space of four-dimensional numbers

Rakhymova, A. T.; Gabbassov, M. B.; Shapen, K. M.

doi:10.26577/jmmcs.2020.v108.i4.07

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“…To avoid this difficulty, Abenov [21] and Abenov et al, [22] proposed a new method for solving the continuity equation in four-dimensional space. Rakhymova et al, [24]…”

Section: Introductionmentioning

confidence: 99%

Analytical Solution of the Cauchy Problem for a Nonstationary Three-dimensional Model of the Filtration Theory

Rakhymova¹,

Gabbassov²,

Ahmedov³

2021

ARFMTS

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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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“…To avoid this difficulty, Abenov [21] and Abenov et al, [22] proposed a new method for solving the continuity equation in four-dimensional space. Rakhymova et al, [24]…”

Section: Introductionmentioning

confidence: 99%

Analytical Solution of the Cauchy Problem for a Nonstationary Three-dimensional Model of the Filtration Theory

Rakhymova¹,

Gabbassov²,

Ahmedov³

2021

ARFMTS

View full text Add to dashboard Cite

show abstract

“…To avoid this difficulty, professor M.M. Abenov [15][16] proposed a new method for solving the continuity equation in four-dimensional space. In the work [15] M.M.…”

Section: Introductionmentioning

confidence: 99%

One Class of Smooth Bounded Solutions to the Cauchy Problem for a Three-Dimensional Filtration Model With Darcy's Law

Rakhymova

2022

JMMCS

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On one space of four-dimensional numbers

Cited by 2 publications

References 0 publications

Analytical Solution of the Cauchy Problem for a Nonstationary Three-dimensional Model of the Filtration Theory

Analytical Solution of the Cauchy Problem for a Nonstationary Three-dimensional Model of the Filtration Theory

One Class of Smooth Bounded Solutions to the Cauchy Problem for a Three-Dimensional Filtration Model With Darcy's Law

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