Abstract
Under consideration is the problem of controlling the one-dimensional flow of a polytropic viscous heat-conducting ideal gas along an interval with a stationary boundary. The initial velocity and the velocity at the permeable stationary boundary are chosen as controls. We prove the existence of an optimal control, derive some necessary optimality conditions, and show that the solution set is compact.
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Original Russian Text © E.V. Amosova, 2007, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2007, Vol. X, No. 2, pp. 5–22.
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Amosova, E.V. Optimal control of a viscous heat-conducting gas flow. J. Appl. Ind. Math. 3, 5–20 (2009). https://doi.org/10.1134/S1990478909010025
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DOI: https://doi.org/10.1134/S1990478909010025