Abstract
This work is devoted to proving the local null controllability of the Burgers-$\alpha$ model. The state is the solution to a regularized Burgers equation, where the transport term is of the form $zy_x$, $z=(Id-\alpha^2\frac{\partial^2}{\partial x^2})^{-1}y$, and $\alpha>0$ is a small parameter. We also prove some results concerning the behavior of the null controls and associated states as $\alpha\to 0^+$.
Citation
Fágner D.. Araruna. Enrique Fernández-Cara. Diego A. Souza. "On the control of the Burgers-alpha model." Adv. Differential Equations 18 (9/10) 935 - 954, September/October 2013. https://doi.org/10.57262/ade/1372777764
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