The Turnpike Property for Two-Dimensional Navier-Stokes Equations
Optimization and Control
2016-01-20 v1
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.
Keywords
Cite
@article{arxiv.1601.04984,
title = {The Turnpike Property for Two-Dimensional Navier-Stokes Equations},
author = {S. Zamorano},
journal= {arXiv preprint arXiv:1601.04984},
year = {2016}
}