Geodesic
Application of the duality theory in modeling hydraulic systems with flow regulators
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2010), pp. 76-81

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We consider mathematical models of 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.
Keywords: duality theory in optimization, hydraulic circuit, flow regulator. 
@article{IVM_2010_9_a6,
     author = {S. P. Epifanov and V. I. Zorkaltsev},
     title = {Application of the duality theory in modeling hydraulic systems with flow regulators},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {76--81},
     publisher = {mathdoc},
     number = {9},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_9_a6/}
}
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S. P. Epifanov; V. I. Zorkaltsev. Application of the duality theory in modeling hydraulic systems with flow regulators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2010), pp. 76-81. http://geodesic.mathdoc.fr/item/IVM_2010_9_a6/