Remarks on global controllability for the Burgers equation with two control forces

Sergio Guerrero (1) , Yu Imanuvilov (2)

1 LJLL - Laboratoire Jacques-Louis Lions
2 Department of Mathematics

In this paper we deal with the viscous Burgers equation. We study the exact controllability properties of this equation with general initial condition when controlling both ends of the interval. In a first result, we prove that the global exact null controllability does not hold for small time. In a second one, we prove that the exact controllability result does not hold even for large time.

Domaines: Analyse numérique [math.NA]

Sergio Guerrero, Yu Imanuvilov. Remarks on global controllability for the Burgers equation with two control forces. 2006. ⟨hal-00113443⟩