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1. BOUNDARY CONTROL OF THE MOTION OF A HEAVY PISTON IN VISCOUS GAS.

Author

PLOTNIKOV, PAVEL I. and SOKOŁOWSKI, JAN

Subjects
*PISTONS, *DIFFERENTIAL equations, *MOTION, *STOKES equations, *MATHEMATICAL models
Abstract

A one-dimensional free boundary problem of the motion of a heavy piston in a tube filled with viscous gas is considered. The system of governing equations and boundary conditions is derived. The obtained system of differential equations can be regarded as a mathematical model of an exterior combustion engine. The existence of an optimal control for the problem of maximization of the useful work of the engine is shown. The method of the proof is constructive and can be exploited for numerical methods. [ABSTRACT FROM AUTHOR]

Published
2019
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