Two phase flow arising in hydraulics. (English) Zbl 1340.76101

Summary: The aim of this paper is to proceed in the study of the system which will be specified below. The system concerns fluid flow in a simple hydraulic system consisting of a pipe with generator on one side and a valve or some more complicated hydraulic elements on the other end of the pipe. The purpose of the research is a rigorous mathematical analysis of the corresponding linearized system.
Here, we analyze the linearized problem near the fixed steady state, which already have been explicitly described. The theory of mixed linear partial differential systems and other tools are applied to derive an explicit form of the solution.


76T10 Liquid-gas two-phase flows, bubbly flows
35L50 Initial-boundary value problems for first-order hyperbolic systems
35L45 Initial value problems for first-order hyperbolic systems
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