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single piston pump; valve function; fluid flow in a tube; linear hyperbolic equation
In this paper a mathematical model of a fluid flow in a tube with a valve and a pump is solved. The function of the valve is described in more detail than in [3], thus making the model more complete.
[1] V. Kolarčík: Linear model of a piston pump. Communication during cooperation of Mathematical Institute of Czechoslovak Academy of Sciences and Research Institute of Concern Sigma Olomouc in 1984.
[2] V. Kolarčík: Mathematical model of a piston pump. To appear in Acta Technica ČSAV 1989 - 90.
[3] I. Straškraba: Solution of a linear model of a single-piston pump by means of methods for differential equations in Hilbert spaces. Aplikace matematiky 31 (1986), č. 6, 461-479. MR 0870482
[4] A. Pazy: Semigroups of linear operators and applications to partial differential equations. New York, Springer 1983. MR 0710486 | Zbl 0516.47023
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