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arXiv · 1601.04984

The Turnpike Property for Two-Dimensional Navier-Stokes Equations

S. Zamorano
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Abstract

This paper is devoted to the study of the turnpike phenomenon arising in the optimal distributed control tracking-type problem for the Navier-Stokes equations. We obtain a positive answer to this property in the case when the controls are time-dependent functions, and also when are independent of time. In both cases we prove an exponential turnpike property assuming that the stationary optimal state satisfy certain properties of smallness.

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S. Zamorano. 2016-01-19. The Turnpike Property for Two-Dimensional Navier-Stokes Equations. https://arxiv.org/abs/1601.04984

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