%0 Book Section
%T Obstruction and some approximate controllability results for the burgers equation and related problems
publisher Marcel Dekker
%D 1996
%U 0-8247-9607-1
%@ https://hdl.handle.net/20.500.14352/60562
%X 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.
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