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arXiv · 1310.5730

A Distributed Control Problem for a Three-Dimensional Lagrangian Averaged Navier-Stiokes-α MODEL

Elder J. Villamizar-Roa·Elva Ortega-Torres
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Abstract

A distributed optimal control problem with final observation for a three- dimensional Lagrange averaged Navier-Stokes-? model is studied. The solvability of the optimal control problem is proved and the first-order optimality conditions are estab- lished. Moreover, by using the Lagrange multipliers method, an optimality system in a weak and a strong form is derived.

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Elder J. Villamizar-Roa, Elva Ortega-Torres. 2013-10-21. A Distributed Control Problem for a Three-Dimensional Lagrangian Averaged Navier-Stiokes-α MODEL. https://arxiv.org/abs/1310.5730

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