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About one Nonlinear Dynamic System Arising in a Two-Phase Medium. / Imomnazarov, Kholmatjon; Erkinova, Dinora.

In: AIP Conference Proceedings, Vol. 3147, No. 1, 030011, 06.05.2024.

Research output: Contribution to journal › Conference article › peer-review

Harvard

Imomnazarov, K & Erkinova, D 2024, 'About one Nonlinear Dynamic System Arising in a Two-Phase Medium', AIP Conference Proceedings, vol. 3147, no. 1, 030011. https://doi.org/10.1063/5.0210760

APA

Imomnazarov, K., & Erkinova, D. (2024). About one Nonlinear Dynamic System Arising in a Two-Phase Medium. AIP Conference Proceedings, 3147(1), [030011]. https://doi.org/10.1063/5.0210760

Vancouver

Imomnazarov K, Erkinova D. About one Nonlinear Dynamic System Arising in a Two-Phase Medium. AIP Conference Proceedings. 2024 May 6;3147(1):030011. doi: 10.1063/5.0210760

Author

Imomnazarov, Kholmatjon ; Erkinova, Dinora. / About one Nonlinear Dynamic System Arising in a Two-Phase Medium. In: AIP Conference Proceedings. 2024 ; Vol. 3147, No. 1.

BibTeX

@article{93e5e8a9345242c69e1d8f882ed75ff7,
title = "About one Nonlinear Dynamic System Arising in a Two-Phase Medium",
abstract = "The Cauchy problem for a one-dimensional homogeneous system of Hopf-type equations arising in a two-fluid medium is considered. It is believed that energy dissipation occurs only due to the coefficient of friction (D'arcy's analogue) and the Cauchy data are given as a finite Fourier series. Recurrent systems of ordinary differential equations for amplitudes for N approximations are obtained. A partial solution of the resulting Ordinary Differential Equation is constructed for N=3.",
author = "Kholmatjon Imomnazarov and Dinora Erkinova",
year = "2024",
month = may,
day = "6",
doi = "10.1063/5.0210760",
language = "English",
volume = "3147",
journal = "AIP Conference Proceedings",
issn = "0094-243X",
publisher = "American Institute of Physics",
number = "1",
note = "2023 International Scientific and Practical Conference on Actual Problems of Mathematical Modeling and Information Technology, APMMIT 2023 ; Conference date: 02-05-2023 Through 03-05-2023",

}

RIS

TY - JOUR

T1 - About one Nonlinear Dynamic System Arising in a Two-Phase Medium

AU - Imomnazarov, Kholmatjon

AU - Erkinova, Dinora

PY - 2024/5/6

Y1 - 2024/5/6

N2 - The Cauchy problem for a one-dimensional homogeneous system of Hopf-type equations arising in a two-fluid medium is considered. It is believed that energy dissipation occurs only due to the coefficient of friction (D'arcy's analogue) and the Cauchy data are given as a finite Fourier series. Recurrent systems of ordinary differential equations for amplitudes for N approximations are obtained. A partial solution of the resulting Ordinary Differential Equation is constructed for N=3.

AB - The Cauchy problem for a one-dimensional homogeneous system of Hopf-type equations arising in a two-fluid medium is considered. It is believed that energy dissipation occurs only due to the coefficient of friction (D'arcy's analogue) and the Cauchy data are given as a finite Fourier series. Recurrent systems of ordinary differential equations for amplitudes for N approximations are obtained. A partial solution of the resulting Ordinary Differential Equation is constructed for N=3.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85193793282&origin=inward&txGid=6201c37dd75d1ba6ca60338245547f51

UR - https://www.mendeley.com/catalogue/1890c619-acb7-3d26-8c3e-a3c796704298/

U2 - 10.1063/5.0210760

DO - 10.1063/5.0210760

M3 - Conference article

VL - 3147

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

IS - 1

M1 - 030011

T2 - 2023 International Scientific and Practical Conference on Actual Problems of Mathematical Modeling and Information Technology

Y2 - 2 May 2023 through 3 May 2023

ER -

ID: 60746794