We consider the Cauchy problem for a one-dimensional homogeneous system of Hopf-type equations arising in a two-fluid medium. Energy dissipation is assumed to occur solely due to the friction coefficient (analogous to Darcy), and the Cauchy data are given as a finite trigonometric Fourier series. Recurrent systems of ordinary differential equations for the amplitudes of the approximations are obtained. A particular solution to the resulting ODE is constructed.
| Mualliflar | D.A. Erkinova, Х. Х. Имомназаров |
|---|---|
| Jurnal | Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi |
| Nashr sanasi | 2026-01-01 |
| Jild | 1 |
| Son | 2 |
| Betlar | 153-158 |
| DOI | 10.59251/2181-3973.2025.v1.138.1.3837 |
DOI: 10.59251/2181-3973.2025.v1.138.1.3837 · Maqolaning asl sahifasi
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