Díaz Díaz, Jesús IldefonsoCasas, Eduardo2023-06-202023-06-2019960-8247-9607-1https://hdl.handle.net/20.500.14352/60562IFIP TC7/WG-7.2 Conference on Control of Partial Differential Equations and Applications. LAREDO, SPAIN. 1994The 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.engbook parthttp://www.crcpress.com/product/isbn/9780824796075open access531.3-523.222approximate controllabilityBurgers equationNavier-Stokes systemEcuaciones diferenciales1202.07 Ecuaciones en Diferencias