Geodesic
Weak approximation method for the Cauchy problem for a one-dimensional system of Hopf-type equations
Matematičeskie zametki SVFU, Tome 29 (2022) no. 4, pp. 11-20 Cet article a éte moissonné depuis la source Math-Net.Ru

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A system of Hopf-type equations is obtained. The Cauchy problem for a one-dimensional system of equations of the Hopf type which arises in two-velocity hydrodynamics is considered. The existence and uniqueness of a solution to the Cauchy problem for the one-dimensional system of the Hopf type is proved by the method of weak approximation.
Keywords: two-velocity hydrodynamics, Hopf-type system, weak approximation method
Mots-clés : friction coefficient. 
@article{SVFU_2022_29_4_a1,
     author = {B. Kh. Imomnazarov and U. {\CYRK}. Turdiev and D. {\CYRA}. Erkinova},
     title = {Weak approximation method for the {Cauchy} problem for a one-dimensional system of {Hopf-type} equations},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {11--20},
     year = {2022},
     volume = {29},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2022_29_4_a1/}
}
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B. Kh. Imomnazarov; U. К. Turdiev; D. А. Erkinova. Weak approximation method for the Cauchy problem for a one-dimensional system of Hopf-type equations. Matematičeskie zametki SVFU, Tome 29 (2022) no. 4, pp. 11-20. http://geodesic.mathdoc.fr/item/SVFU_2022_29_4_a1/