4 papers
On the small-time local controllability of a KdV system for critical lengths
Jean-Michel Coron, Armand Koenig, Hoai-Minh Nguyen
This paper is devoted to the local null-controllability of the nonlinear KdV equation equipped the Dirichlet boundary conditions using the Neumann boundary control on the right. Ro…
Null-controllability of linear parabolic-transport systems
Karine Beauchard, Armand Koenig, Kévin Le Balc'h
Over the past two decades, the controllability of several examples of parabolic-hyperbolic systems has been investigated. The present article is the beginning of an attempt to find…
Control of the Grushin equation: non-rectangular control region and minimal time
Michel Duprez, Armand Koenig
This paper is devoted to the study of the internal null-controllability of the Grushin equation. We determine the minimal time of controllability for a large class of non-rectangul…
Lack of null-controllability for the fractional heat equation and related equations
Armand Koenig
We consider the equation , or . We prove it is not null-controllable if is analytic on a coni…