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 -