Displaying similar documents to “Controllability of the Benjamin-Bona-Mahony equation.”

Controllability of nonlinear PDE’s: Agrachev–Sarychev approach

Armen Shirikyan (2007)

Journées Équations aux dérivées partielles

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This short note is devoted to a discussion of a general approach to controllability of PDE’s introduced by Agrachev and Sarychev in 2005. We use the example of a 1D Burgers equation to illustrate the main ideas. It is proved that the problem in question is controllable in an appropriate sense by a two-dimensional external force. This result is not new and was proved earlier in the papers [, ] in a more complicated situation of 2D Navier–Stokes equations.