Boundary Control of the Motion of a Heavy Piston in Viscous Gas Full article
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SIAM Journal on Control and Optimization
ISSN: 0363-0129 |
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| Output data | Year: 2019, Volume: 57, Number: 5, Pages: 3166-3192 Pages count : 27 DOI: 10.1137/18m1180918 | ||||||
| Tags | Compressible Navier-Stokes equations; Optimization problem | ||||||
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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.
Cite:
Plotnikov P.I.
, Sokołowski J.
Boundary Control of the Motion of a Heavy Piston in Viscous Gas
SIAM Journal on Control and Optimization. 2019. V.57. N5. P.3166-3192. DOI: 10.1137/18m1180918 WOS Scopus РИНЦ OpenAlex
Boundary Control of the Motion of a Heavy Piston in Viscous Gas
SIAM Journal on Control and Optimization. 2019. V.57. N5. P.3166-3192. DOI: 10.1137/18m1180918 WOS Scopus РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000493904200004 |
| Scopus: | 2-s2.0-85073591492 |
| Elibrary: | 41688207 |
| OpenAlex: | W2974741480 |