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Robust control problems in fluid flows

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  • In this article we study a class of robust control problems in fluid mechanics recently proposed in [5]. Using a method of [23], we provide another proof of the existence and the uniqueness of solutions to the robust control problems under weaker assumptions as compared to [5]. We also study the Newton method for the numerical solution of these control problems. We prove the convergence of the method and we obtain an estimate of the convergence rate.
    Mathematics Subject Classification: 49M15, 35Q30, 76D05, 76D55.


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