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oai:docta.ucm.es:20.500.14352/605622023-09-07T18:36:16Zcom_20.500.14352_14col_20.500.14352_21

Obstruction and some approximate controllability results for the burgers equation and related problems Díaz Díaz, Jesús Ildefonso Casas, Eduardo IFIP TC7/WG-7.2 Conference on Control of Partial Differential Equations and Applications. LAREDO, SPAIN. 1994 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. 2023-06-20T21:03:26Z 2023-06-20T21:03:26Z 1996 book part 0-8247-9607-1 https://hdl.handle.net/20.500.14352/60562 http://www.crcpress.com/product/isbn/9780824796075 eng Lecture notes in pure and applied mathematics open access Marcel Dekker