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Díaz Díaz, Jesús Ildefonso
(1996)
*Obstruction and some approximate controllability results for the burgers equation and related problems.*
In
Control of Partial Differential Equations and Applications.
Lecture notes in pure and applied mathematics
(174).
Marcel Dekker, NEW YORK, pp. 63-76.
ISBN 0-8247-9607-1

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Official URL: http://www.crcpress.com/product/isbn/9780824796075

## Abstract

The paper studies the approximate controllability for the Burgers equation. Due to the presence of a superlinear term, an obstruction phenomenon arises which implies a lack of approximate controllability in spaces of type L^p or $C$. However, the author is able to prove several controllability results under suitable constraints on the desired state. Finally, a necessary condition for the approximate controllability of the Navier-Stokes system on a rectangle is given.

Item Type: | Book Section |
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Additional Information: | IFIP TC7/WG-7.2 Conference on Control of Partial Differential Equations and Applications. LAREDO, SPAIN. 1994 |

Uncontrolled Keywords: | approximate controllability; Burgers equation; Navier-Stokes system |

Subjects: | Sciences > Mathematics > Differential equations |

ID Code: | 15864 |

Deposited On: | 09 Jul 2012 09:35 |

Last Modified: | 09 Sep 2020 08:16 |

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