Cauchy problem for a special case of fluid motion in a pressure pipeline
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the 5th International Conference "Dynamical Systems and Computer Science: Theory and Applications" (DYSC 2023). Irkutsk, September 18-23, 2023, Tome 234 (2024), pp. 35-42

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In this paper, we obtain an exact solution of the Cauchy problem for a system of inhomogeneous first-order partial differential equations of hyperbolic type, which describes a motion of a fluid in a pressure pipeline.
Keywords: differential equation, partial derivative, Cauchy problem
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     title = {Cauchy problem for a special case of fluid motion in a pressure pipeline},
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E. Yu. Grazhdantseva. Cauchy problem for a special case of fluid motion in a pressure pipeline. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the 5th International Conference "Dynamical Systems and Computer Science: Theory and Applications" (DYSC 2023). Irkutsk, September 18-23, 2023, Tome 234 (2024), pp. 35-42. http://geodesic.mathdoc.fr/item/INTO_2024_234_a4/