The task of optimizing the turbulent flows of multiphase media by itself is a similar carrier

Title	The task of optimizing the turbulent flows of multiphase media by itself is a similar carrier
Authors	I. V. Perova¹ ¹St. Petersburg Federal Research Center of the Russian Academy of Sciences
Annotation	The paper considers an initial boundary value problem for the Navier-Stokes differential system used to describe a mathematical model of the so-called turbulent processes of transportation of Newtonian fluids with a certain viscosity. The model assumes that the liquid is a multiphase continuum medium and it has a complex internal rheology. A distinctive feature of the process under study is the absence of a classical differential equation at the nodal points in the network-like region. An optimization problem is presented that is relevant in the analysis of the processes of transferring continuous media over a network-like medium.
Keywords	initial boundary value problem, turbulent flow, weak solution in similar objects, optimization problem.
Citation	Perova I. V. ''The task of optimizing the turbulent flows of multiphase media by itself is a similar carrier'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 29-31, 2025). Saransk: SVMO Publ, 2025. - pp. 217-220. Available at: https://conf.svmo.ru/files/2025/papers/paper43.pdf. - Date of access: 30.08.2025.