Application of the duality theory in modeling hydraulic systems with flow regulators.

We consider mathematical models of the operation of pipelines with automatic flow regulators installed on several sections. We present a system of equations and inequalities that describes the flow distribution in such pipelines. We prove that the stated system gives optimality conditions for two mutually dual convex programming problems. This enables us to obtain conditions for the unique existence of a solution to this system. [ABSTRACT FROM AUTHOR]